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Finding the Third Proportional to 57,239 and 88,556

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Solution

The third proportional to 57,239 and 88,556 is: 137,007.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,239 : 88,556 = 88,556 : x
  2. Step 2: Convert to fraction form
    57,239/88,556 = 88,556/x
  3. Step 3: Cross multiply
    57,239x = 88,556 × 88,556
  4. Step 4: Simplify right side
    57,239x = 7,842,165,136
  5. Step 5: Solve for x
    x = 7,842,165,136/57,239
  6. Step 6: Final answer
    x = 137,007.37

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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.