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Finding the Third Proportional to 71,658 and 97,281

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Solution

The third proportional to 71,658 and 97,281 is: 132,066.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,658 : 97,281 = 97,281 : x
  2. Step 2: Convert to fraction form
    71,658/97,281 = 97,281/x
  3. Step 3: Cross multiply
    71,658x = 97,281 × 97,281
  4. Step 4: Simplify right side
    71,658x = 9,463,592,961
  5. Step 5: Solve for x
    x = 9,463,592,961/71,658
  6. Step 6: Final answer
    x = 132,066.11

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.