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Finding the Third Proportional to 121,909.50 and 144,058.50

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Solution

The third proportional to 121,909.50 and 144,058.50 is: 170,231.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,909.50 : 144,058.50 = 144,058.50 : x
  2. Step 2: Convert to fraction form
    121,909.50/144,058.50 = 144,058.50/x
  3. Step 3: Cross multiply
    121,909.50x = 144,058.50 × 144,058.50
  4. Step 4: Simplify right side
    121,909.50x = 20,752,851,422.25
  5. Step 5: Solve for x
    x = 20,752,851,422.25/121,909.50
  6. Step 6: Final answer
    x = 170,231.62

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.