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Finding the Third Proportional to 58,500 and 85,556

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Solution

The third proportional to 58,500 and 85,556 is: 125,125.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,500 : 85,556 = 85,556 : x
  2. Step 2: Convert to fraction form
    58,500/85,556 = 85,556/x
  3. Step 3: Cross multiply
    58,500x = 85,556 × 85,556
  4. Step 4: Simplify right side
    58,500x = 7,319,829,136
  5. Step 5: Solve for x
    x = 7,319,829,136/58,500
  6. Step 6: Final answer
    x = 125,125.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.