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Finding the Third Proportional to 63,422 and 97,515

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Solution

The third proportional to 63,422 and 97,515 is: 149,934.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,422 : 97,515 = 97,515 : x
  2. Step 2: Convert to fraction form
    63,422/97,515 = 97,515/x
  3. Step 3: Cross multiply
    63,422x = 97,515 × 97,515
  4. Step 4: Simplify right side
    63,422x = 9,509,175,225
  5. Step 5: Solve for x
    x = 9,509,175,225/63,422
  6. Step 6: Final answer
    x = 149,934.96

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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.