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Finding the Third Proportional to 65,792 and 97,672

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Solution

The third proportional to 65,792 and 97,672 is: 144,999.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,792 : 97,672 = 97,672 : x
  2. Step 2: Convert to fraction form
    65,792/97,672 = 97,672/x
  3. Step 3: Cross multiply
    65,792x = 97,672 × 97,672
  4. Step 4: Simplify right side
    65,792x = 9,539,819,584
  5. Step 5: Solve for x
    x = 9,539,819,584/65,792
  6. Step 6: Final answer
    x = 144,999.69

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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.