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Finding the Third Proportional to 58,558 and 88,239

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Solution

The third proportional to 58,558 and 88,239 is: 132,964.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,558 : 88,239 = 88,239 : x
  2. Step 2: Convert to fraction form
    58,558/88,239 = 88,239/x
  3. Step 3: Cross multiply
    58,558x = 88,239 × 88,239
  4. Step 4: Simplify right side
    58,558x = 7,786,121,121
  5. Step 5: Solve for x
    x = 7,786,121,121/58,558
  6. Step 6: Final answer
    x = 132,964.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.