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Finding the Third Proportional to 65,788 and 97,548

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Solution

The third proportional to 65,788 and 97,548 is: 144,640.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,788 : 97,548 = 97,548 : x
  2. Step 2: Convert to fraction form
    65,788/97,548 = 97,548/x
  3. Step 3: Cross multiply
    65,788x = 97,548 × 97,548
  4. Step 4: Simplify right side
    65,788x = 9,515,612,304
  5. Step 5: Solve for x
    x = 9,515,612,304/65,788
  6. Step 6: Final answer
    x = 144,640.55

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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.