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Finding the Third Proportional to 75,282 and 148,674

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Solution

The third proportional to 75,282 and 148,674 is: 293,615.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,282 : 148,674 = 148,674 : x
  2. Step 2: Convert to fraction form
    75,282/148,674 = 148,674/x
  3. Step 3: Cross multiply
    75,282x = 148,674 × 148,674
  4. Step 4: Simplify right side
    75,282x = 22,103,958,276
  5. Step 5: Solve for x
    x = 22,103,958,276/75,282
  6. Step 6: Final answer
    x = 293,615.45

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.