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Finding the Third Proportional to 75,046 and 105,540

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Solution

The third proportional to 75,046 and 105,540 is: 148,424.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,046 : 105,540 = 105,540 : x
  2. Step 2: Convert to fraction form
    75,046/105,540 = 105,540/x
  3. Step 3: Cross multiply
    75,046x = 105,540 × 105,540
  4. Step 4: Simplify right side
    75,046x = 11,138,691,600
  5. Step 5: Solve for x
    x = 11,138,691,600/75,046
  6. Step 6: Final answer
    x = 148,424.85

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.