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Finding the Third Proportional to 60,186 and 93,630

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Solution

The third proportional to 60,186 and 93,630 is: 145,658.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,186 : 93,630 = 93,630 : x
  2. Step 2: Convert to fraction form
    60,186/93,630 = 93,630/x
  3. Step 3: Cross multiply
    60,186x = 93,630 × 93,630
  4. Step 4: Simplify right side
    60,186x = 8,766,576,900
  5. Step 5: Solve for x
    x = 8,766,576,900/60,186
  6. Step 6: Final answer
    x = 145,658.07

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.