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Finding the Third Proportional to 66,764 and 93,909

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Solution

The third proportional to 66,764 and 93,909 is: 132,090.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,764 : 93,909 = 93,909 : x
  2. Step 2: Convert to fraction form
    66,764/93,909 = 93,909/x
  3. Step 3: Cross multiply
    66,764x = 93,909 × 93,909
  4. Step 4: Simplify right side
    66,764x = 8,818,900,281
  5. Step 5: Solve for x
    x = 8,818,900,281/66,764
  6. Step 6: Final answer
    x = 132,090.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.