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Finding the Third Proportional to 37,113 and 80,382

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Solution

The third proportional to 37,113 and 80,382 is: 174,097.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,113 : 80,382 = 80,382 : x
  2. Step 2: Convert to fraction form
    37,113/80,382 = 80,382/x
  3. Step 3: Cross multiply
    37,113x = 80,382 × 80,382
  4. Step 4: Simplify right side
    37,113x = 6,461,265,924
  5. Step 5: Solve for x
    x = 6,461,265,924/37,113
  6. Step 6: Final answer
    x = 174,097.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.