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Finding the Third Proportional to 100,764.75 and 152,281.13

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Solution

The third proportional to 100,764.75 and 152,281.13 is: 230,135.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,764.75 : 152,281.13 = 152,281.13 : x
  2. Step 2: Convert to fraction form
    100,764.75/152,281.13 = 152,281.13/x
  3. Step 3: Cross multiply
    100,764.75x = 152,281.13 × 152,281.13
  4. Step 4: Simplify right side
    100,764.75x = 23,189,541,031.27
  5. Step 5: Solve for x
    x = 23,189,541,031.27/100,764.75
  6. Step 6: Final answer
    x = 230,135.45

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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.