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Finding the Third Proportional to 59,092.50 and 126,487.50

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Solution

The third proportional to 59,092.50 and 126,487.50 is: 270,746.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,092.50 : 126,487.50 = 126,487.50 : x
  2. Step 2: Convert to fraction form
    59,092.50/126,487.50 = 126,487.50/x
  3. Step 3: Cross multiply
    59,092.50x = 126,487.50 × 126,487.50
  4. Step 4: Simplify right side
    59,092.50x = 15,999,087,656.25
  5. Step 5: Solve for x
    x = 15,999,087,656.25/59,092.50
  6. Step 6: Final answer
    x = 270,746.50

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.