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Finding the Third Proportional to 87,516 and 187,024.50

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Solution

The third proportional to 87,516 and 187,024.50 is: 399,677.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,516 : 187,024.50 = 187,024.50 : x
  2. Step 2: Convert to fraction form
    87,516/187,024.50 = 187,024.50/x
  3. Step 3: Cross multiply
    87,516x = 187,024.50 × 187,024.50
  4. Step 4: Simplify right side
    87,516x = 34,978,163,600.25
  5. Step 5: Solve for x
    x = 34,978,163,600.25/87,516
  6. Step 6: Final answer
    x = 399,677.36

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Why These Related Problems?

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