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Finding the Third Proportional to 62,538 and 97,011

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Solution

The third proportional to 62,538 and 97,011 is: 150,486.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,538 : 97,011 = 97,011 : x
  2. Step 2: Convert to fraction form
    62,538/97,011 = 97,011/x
  3. Step 3: Cross multiply
    62,538x = 97,011 × 97,011
  4. Step 4: Simplify right side
    62,538x = 9,411,134,121
  5. Step 5: Solve for x
    x = 9,411,134,121/62,538
  6. Step 6: Final answer
    x = 150,486.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.