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Finding the Third Proportional to 82,416 and 94,080

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Solution

The third proportional to 82,416 and 94,080 is: 107,394.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,416 : 94,080 = 94,080 : x
  2. Step 2: Convert to fraction form
    82,416/94,080 = 94,080/x
  3. Step 3: Cross multiply
    82,416x = 94,080 × 94,080
  4. Step 4: Simplify right side
    82,416x = 8,851,046,400
  5. Step 5: Solve for x
    x = 8,851,046,400/82,416
  6. Step 6: Final answer
    x = 107,394.76

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.