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Finding the Third Proportional to 73,632.38 and 152,728.88

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Solution

The third proportional to 73,632.38 and 152,728.88 is: 316,791.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,632.38 : 152,728.88 = 152,728.88 : x
  2. Step 2: Convert to fraction form
    73,632.38/152,728.88 = 152,728.88/x
  3. Step 3: Cross multiply
    73,632.38x = 152,728.88 × 152,728.88
  4. Step 4: Simplify right side
    73,632.38x = 23,326,109,258.77
  5. Step 5: Solve for x
    x = 23,326,109,258.77/73,632.38
  6. Step 6: Final answer
    x = 316,791.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.