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Finding the Third Proportional to 40,473 and 85,877

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Solution

The third proportional to 40,473 and 85,877 is: 182,216.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,473 : 85,877 = 85,877 : x
  2. Step 2: Convert to fraction form
    40,473/85,877 = 85,877/x
  3. Step 3: Cross multiply
    40,473x = 85,877 × 85,877
  4. Step 4: Simplify right side
    40,473x = 7,374,859,129
  5. Step 5: Solve for x
    x = 7,374,859,129/40,473
  6. Step 6: Final answer
    x = 182,216.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.