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Finding the Third Proportional to 60,158 and 121,776

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Solution

The third proportional to 60,158 and 121,776 is: 246,507.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,158 : 121,776 = 121,776 : x
  2. Step 2: Convert to fraction form
    60,158/121,776 = 121,776/x
  3. Step 3: Cross multiply
    60,158x = 121,776 × 121,776
  4. Step 4: Simplify right side
    60,158x = 14,829,394,176
  5. Step 5: Solve for x
    x = 14,829,394,176/60,158
  6. Step 6: Final answer
    x = 246,507.43

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.