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Finding the Third Proportional to 64,531 and 97,767

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Solution

The third proportional to 64,531 and 97,767 is: 148,120.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,531 : 97,767 = 97,767 : x
  2. Step 2: Convert to fraction form
    64,531/97,767 = 97,767/x
  3. Step 3: Cross multiply
    64,531x = 97,767 × 97,767
  4. Step 4: Simplify right side
    64,531x = 9,558,386,289
  5. Step 5: Solve for x
    x = 9,558,386,289/64,531
  6. Step 6: Final answer
    x = 148,120.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.