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Finding the Third Proportional to 77,748 and 120,058.50

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Solution

The third proportional to 77,748 and 120,058.50 is: 185,394.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,748 : 120,058.50 = 120,058.50 : x
  2. Step 2: Convert to fraction form
    77,748/120,058.50 = 120,058.50/x
  3. Step 3: Cross multiply
    77,748x = 120,058.50 × 120,058.50
  4. Step 4: Simplify right side
    77,748x = 14,414,043,422.25
  5. Step 5: Solve for x
    x = 14,414,043,422.25/77,748
  6. Step 6: Final answer
    x = 185,394.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.