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Finding the Third Proportional to 60,786 and 96,171

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Solution

The third proportional to 60,786 and 96,171 is: 152,154.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,786 : 96,171 = 96,171 : x
  2. Step 2: Convert to fraction form
    60,786/96,171 = 96,171/x
  3. Step 3: Cross multiply
    60,786x = 96,171 × 96,171
  4. Step 4: Simplify right side
    60,786x = 9,248,861,241
  5. Step 5: Solve for x
    x = 9,248,861,241/60,786
  6. Step 6: Final answer
    x = 152,154.46

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.