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Finding the Third Proportional to 100,972 and 156,786

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Solution

The third proportional to 100,972 and 156,786 is: 243,452.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,972 : 156,786 = 156,786 : x
  2. Step 2: Convert to fraction form
    100,972/156,786 = 156,786/x
  3. Step 3: Cross multiply
    100,972x = 156,786 × 156,786
  4. Step 4: Simplify right side
    100,972x = 24,581,849,796
  5. Step 5: Solve for x
    x = 24,581,849,796/100,972
  6. Step 6: Final answer
    x = 243,452.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.