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Finding the Third Proportional to 75,703.50 and 108,058.50

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Solution

The third proportional to 75,703.50 and 108,058.50 is: 154,241.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,703.50 : 108,058.50 = 108,058.50 : x
  2. Step 2: Convert to fraction form
    75,703.50/108,058.50 = 108,058.50/x
  3. Step 3: Cross multiply
    75,703.50x = 108,058.50 × 108,058.50
  4. Step 4: Simplify right side
    75,703.50x = 11,676,639,422.25
  5. Step 5: Solve for x
    x = 11,676,639,422.25/75,703.50
  6. Step 6: Final answer
    x = 154,241.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.