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Finding the Third Proportional to 100,765.13 and 152,281.69

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Solution

The third proportional to 100,765.13 and 152,281.69 is: 230,136.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,765.13 : 152,281.69 = 152,281.69 : x
  2. Step 2: Convert to fraction form
    100,765.13/152,281.69 = 152,281.69/x
  3. Step 3: Cross multiply
    100,765.13x = 152,281.69 × 152,281.69
  4. Step 4: Simplify right side
    100,765.13x = 23,189,712,347.85
  5. Step 5: Solve for x
    x = 23,189,712,347.85/100,765.13
  6. Step 6: Final answer
    x = 230,136.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.