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Finding the Third Proportional to 132,432 and 170,041.50

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Solution

The third proportional to 132,432 and 170,041.50 is: 218,331.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,432 : 170,041.50 = 170,041.50 : x
  2. Step 2: Convert to fraction form
    132,432/170,041.50 = 170,041.50/x
  3. Step 3: Cross multiply
    132,432x = 170,041.50 × 170,041.50
  4. Step 4: Simplify right side
    132,432x = 28,914,111,722.25
  5. Step 5: Solve for x
    x = 28,914,111,722.25/132,432
  6. Step 6: Final answer
    x = 218,331.76

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.