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Finding the Third Proportional to 65,946 and 97,469

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Solution

The third proportional to 65,946 and 97,469 is: 144,060.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,946 : 97,469 = 97,469 : x
  2. Step 2: Convert to fraction form
    65,946/97,469 = 97,469/x
  3. Step 3: Cross multiply
    65,946x = 97,469 × 97,469
  4. Step 4: Simplify right side
    65,946x = 9,500,205,961
  5. Step 5: Solve for x
    x = 9,500,205,961/65,946
  6. Step 6: Final answer
    x = 144,060.38

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.