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Finding the Third Proportional to 88,051 and 136,397

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Solution

The third proportional to 88,051 and 136,397 is: 211,288.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,051 : 136,397 = 136,397 : x
  2. Step 2: Convert to fraction form
    88,051/136,397 = 136,397/x
  3. Step 3: Cross multiply
    88,051x = 136,397 × 136,397
  4. Step 4: Simplify right side
    88,051x = 18,604,141,609
  5. Step 5: Solve for x
    x = 18,604,141,609/88,051
  6. Step 6: Final answer
    x = 211,288.25

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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.