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Finding the Third Proportional to 115,531.31 and 156,970.41

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Solution

The third proportional to 115,531.31 and 156,970.41 is: 213,272.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,531.31 : 156,970.41 = 156,970.41 : x
  2. Step 2: Convert to fraction form
    115,531.31/156,970.41 = 156,970.41/x
  3. Step 3: Cross multiply
    115,531.31x = 156,970.41 × 156,970.41
  4. Step 4: Simplify right side
    115,531.31x = 24,639,708,438.29
  5. Step 5: Solve for x
    x = 24,639,708,438.29/115,531.31
  6. Step 6: Final answer
    x = 213,272.99

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.