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Finding the Third Proportional to 61,316 and 82,398

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Solution

The third proportional to 61,316 and 82,398 is: 110,728.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,316 : 82,398 = 82,398 : x
  2. Step 2: Convert to fraction form
    61,316/82,398 = 82,398/x
  3. Step 3: Cross multiply
    61,316x = 82,398 × 82,398
  4. Step 4: Simplify right side
    61,316x = 6,789,430,404
  5. Step 5: Solve for x
    x = 6,789,430,404/61,316
  6. Step 6: Final answer
    x = 110,728.53

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.