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Finding the Third Proportional to 31,143 and 67,572

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Solution

The third proportional to 31,143 and 67,572 is: 146,613.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,143 : 67,572 = 67,572 : x
  2. Step 2: Convert to fraction form
    31,143/67,572 = 67,572/x
  3. Step 3: Cross multiply
    31,143x = 67,572 × 67,572
  4. Step 4: Simplify right side
    31,143x = 4,565,975,184
  5. Step 5: Solve for x
    x = 4,565,975,184/31,143
  6. Step 6: Final answer
    x = 146,613.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.