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Finding the Third Proportional to 132,429 and 170,037

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Solution

The third proportional to 132,429 and 170,037 is: 218,325.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,429 : 170,037 = 170,037 : x
  2. Step 2: Convert to fraction form
    132,429/170,037 = 170,037/x
  3. Step 3: Cross multiply
    132,429x = 170,037 × 170,037
  4. Step 4: Simplify right side
    132,429x = 28,912,581,369
  5. Step 5: Solve for x
    x = 28,912,581,369/132,429
  6. Step 6: Final answer
    x = 218,325.15

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Why These Related Problems?

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