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Finding the Third Proportional to 95,524 and 147,678

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Solution

The third proportional to 95,524 and 147,678 is: 228,306.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,524 : 147,678 = 147,678 : x
  2. Step 2: Convert to fraction form
    95,524/147,678 = 147,678/x
  3. Step 3: Cross multiply
    95,524x = 147,678 × 147,678
  4. Step 4: Simplify right side
    95,524x = 21,808,791,684
  5. Step 5: Solve for x
    x = 21,808,791,684/95,524
  6. Step 6: Final answer
    x = 228,306.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.