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Finding the Third Proportional to 107,689.50 and 169,371

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Solution

The third proportional to 107,689.50 and 169,371 is: 266,381.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,689.50 : 169,371 = 169,371 : x
  2. Step 2: Convert to fraction form
    107,689.50/169,371 = 169,371/x
  3. Step 3: Cross multiply
    107,689.50x = 169,371 × 169,371
  4. Step 4: Simplify right side
    107,689.50x = 28,686,535,641
  5. Step 5: Solve for x
    x = 28,686,535,641/107,689.50
  6. Step 6: Final answer
    x = 266,381.92

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.