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Finding the Third Proportional to 74,153 and 112,098

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Solution

The third proportional to 74,153 and 112,098 is: 169,459.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,153 : 112,098 = 112,098 : x
  2. Step 2: Convert to fraction form
    74,153/112,098 = 112,098/x
  3. Step 3: Cross multiply
    74,153x = 112,098 × 112,098
  4. Step 4: Simplify right side
    74,153x = 12,565,961,604
  5. Step 5: Solve for x
    x = 12,565,961,604/74,153
  6. Step 6: Final answer
    x = 169,459.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.