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Finding the Third Proportional to 102,562.50 and 215,490

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Solution

The third proportional to 102,562.50 and 215,490 is: 452,757.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,562.50 : 215,490 = 215,490 : x
  2. Step 2: Convert to fraction form
    102,562.50/215,490 = 215,490/x
  3. Step 3: Cross multiply
    102,562.50x = 215,490 × 215,490
  4. Step 4: Simplify right side
    102,562.50x = 46,435,940,100
  5. Step 5: Solve for x
    x = 46,435,940,100/102,562.50
  6. Step 6: Final answer
    x = 452,757.49

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.