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Finding the Third Proportional to 67,562.50 and 156,412

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Solution

The third proportional to 67,562.50 and 156,412 is: 362,104.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,562.50 : 156,412 = 156,412 : x
  2. Step 2: Convert to fraction form
    67,562.50/156,412 = 156,412/x
  3. Step 3: Cross multiply
    67,562.50x = 156,412 × 156,412
  4. Step 4: Simplify right side
    67,562.50x = 24,464,713,744
  5. Step 5: Solve for x
    x = 24,464,713,744/67,562.50
  6. Step 6: Final answer
    x = 362,104.92

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.