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Finding the Third Proportional to 52,110 and 80,637

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Solution

The third proportional to 52,110 and 80,637 is: 124,780.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,110 : 80,637 = 80,637 : x
  2. Step 2: Convert to fraction form
    52,110/80,637 = 80,637/x
  3. Step 3: Cross multiply
    52,110x = 80,637 × 80,637
  4. Step 4: Simplify right side
    52,110x = 6,502,325,769
  5. Step 5: Solve for x
    x = 6,502,325,769/52,110
  6. Step 6: Final answer
    x = 124,780.77

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.