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Finding the Third Proportional to 88,904 and 181,376

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Solution

The third proportional to 88,904 and 181,376 is: 370,031.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,904 : 181,376 = 181,376 : x
  2. Step 2: Convert to fraction form
    88,904/181,376 = 181,376/x
  3. Step 3: Cross multiply
    88,904x = 181,376 × 181,376
  4. Step 4: Simplify right side
    88,904x = 32,897,253,376
  5. Step 5: Solve for x
    x = 32,897,253,376/88,904
  6. Step 6: Final answer
    x = 370,031.20

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.