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Finding the Third Proportional to 52,176.66 and 94,306.78

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Solution

The third proportional to 52,176.66 and 94,306.78 is: 170,454.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,176.66 : 94,306.78 = 94,306.78 : x
  2. Step 2: Convert to fraction form
    52,176.66/94,306.78 = 94,306.78/x
  3. Step 3: Cross multiply
    52,176.66x = 94,306.78 × 94,306.78
  4. Step 4: Simplify right side
    52,176.66x = 8,893,768,989.74
  5. Step 5: Solve for x
    x = 8,893,768,989.74/52,176.66
  6. Step 6: Final answer
    x = 170,454.94

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.