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Finding the Third Proportional to 87,528 and 123,859.50

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Solution

The third proportional to 87,528 and 123,859.50 is: 175,271.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,528 : 123,859.50 = 123,859.50 : x
  2. Step 2: Convert to fraction form
    87,528/123,859.50 = 123,859.50/x
  3. Step 3: Cross multiply
    87,528x = 123,859.50 × 123,859.50
  4. Step 4: Simplify right side
    87,528x = 15,341,175,740.25
  5. Step 5: Solve for x
    x = 15,341,175,740.25/87,528
  6. Step 6: Final answer
    x = 175,271.64

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.