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Finding the Third Proportional to 61,176 and 82,548

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Solution

The third proportional to 61,176 and 82,548 is: 111,386.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,176 : 82,548 = 82,548 : x
  2. Step 2: Convert to fraction form
    61,176/82,548 = 82,548/x
  3. Step 3: Cross multiply
    61,176x = 82,548 × 82,548
  4. Step 4: Simplify right side
    61,176x = 6,814,172,304
  5. Step 5: Solve for x
    x = 6,814,172,304/61,176
  6. Step 6: Final answer
    x = 111,386.37

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.