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Finding the Third Proportional to 63,921 and 97,767

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Solution

The third proportional to 63,921 and 97,767 is: 149,534.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,921 : 97,767 = 97,767 : x
  2. Step 2: Convert to fraction form
    63,921/97,767 = 97,767/x
  3. Step 3: Cross multiply
    63,921x = 97,767 × 97,767
  4. Step 4: Simplify right side
    63,921x = 9,558,386,289
  5. Step 5: Solve for x
    x = 9,558,386,289/63,921
  6. Step 6: Final answer
    x = 149,534.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.