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Finding the Third Proportional to 87,442.50 and 128,298

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Solution

The third proportional to 87,442.50 and 128,298 is: 188,242.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,442.50 : 128,298 = 128,298 : x
  2. Step 2: Convert to fraction form
    87,442.50/128,298 = 128,298/x
  3. Step 3: Cross multiply
    87,442.50x = 128,298 × 128,298
  4. Step 4: Simplify right side
    87,442.50x = 16,460,376,804
  5. Step 5: Solve for x
    x = 16,460,376,804/87,442.50
  6. Step 6: Final answer
    x = 188,242.29

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.