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Finding the Third Proportional to 63,666 and 98,267

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Solution

The third proportional to 63,666 and 98,267 is: 151,672.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,666 : 98,267 = 98,267 : x
  2. Step 2: Convert to fraction form
    63,666/98,267 = 98,267/x
  3. Step 3: Cross multiply
    63,666x = 98,267 × 98,267
  4. Step 4: Simplify right side
    63,666x = 9,656,403,289
  5. Step 5: Solve for x
    x = 9,656,403,289/63,666
  6. Step 6: Final answer
    x = 151,672.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.