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Finding the Third Proportional to 65,924 and 102,048

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Solution

The third proportional to 65,924 and 102,048 is: 157,966.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,924 : 102,048 = 102,048 : x
  2. Step 2: Convert to fraction form
    65,924/102,048 = 102,048/x
  3. Step 3: Cross multiply
    65,924x = 102,048 × 102,048
  4. Step 4: Simplify right side
    65,924x = 10,413,794,304
  5. Step 5: Solve for x
    x = 10,413,794,304/65,924
  6. Step 6: Final answer
    x = 157,966.66

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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.