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Finding the Third Proportional to 144,472 and 156,682

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Solution

The third proportional to 144,472 and 156,682 is: 169,923.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,472 : 156,682 = 156,682 : x
  2. Step 2: Convert to fraction form
    144,472/156,682 = 156,682/x
  3. Step 3: Cross multiply
    144,472x = 156,682 × 156,682
  4. Step 4: Simplify right side
    144,472x = 24,549,249,124
  5. Step 5: Solve for x
    x = 24,549,249,124/144,472
  6. Step 6: Final answer
    x = 169,923.92

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.