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Finding the Third Proportional to 123,921 and 187,042.50

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Solution

The third proportional to 123,921 and 187,042.50 is: 282,316.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,921 : 187,042.50 = 187,042.50 : x
  2. Step 2: Convert to fraction form
    123,921/187,042.50 = 187,042.50/x
  3. Step 3: Cross multiply
    123,921x = 187,042.50 × 187,042.50
  4. Step 4: Simplify right side
    123,921x = 34,984,896,806.25
  5. Step 5: Solve for x
    x = 34,984,896,806.25/123,921
  6. Step 6: Final answer
    x = 282,316.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.