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Finding the Third Proportional to 125,613 and 170,572

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Solution

The third proportional to 125,613 and 170,572 is: 231,622.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,613 : 170,572 = 170,572 : x
  2. Step 2: Convert to fraction form
    125,613/170,572 = 170,572/x
  3. Step 3: Cross multiply
    125,613x = 170,572 × 170,572
  4. Step 4: Simplify right side
    125,613x = 29,094,807,184
  5. Step 5: Solve for x
    x = 29,094,807,184/125,613
  6. Step 6: Final answer
    x = 231,622.58

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Why These Related Problems?

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