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Finding the Third Proportional to 49,080 and 75,488

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Solution

The third proportional to 49,080 and 75,488 is: 116,105.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,080 : 75,488 = 75,488 : x
  2. Step 2: Convert to fraction form
    49,080/75,488 = 75,488/x
  3. Step 3: Cross multiply
    49,080x = 75,488 × 75,488
  4. Step 4: Simplify right side
    49,080x = 5,698,438,144
  5. Step 5: Solve for x
    x = 5,698,438,144/49,080
  6. Step 6: Final answer
    x = 116,105.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.