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Finding the Third Proportional to 60,186 and 93,142

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Solution

The third proportional to 60,186 and 93,142 is: 144,143.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,186 : 93,142 = 93,142 : x
  2. Step 2: Convert to fraction form
    60,186/93,142 = 93,142/x
  3. Step 3: Cross multiply
    60,186x = 93,142 × 93,142
  4. Step 4: Simplify right side
    60,186x = 8,675,432,164
  5. Step 5: Solve for x
    x = 8,675,432,164/60,186
  6. Step 6: Final answer
    x = 144,143.69

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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.