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Finding the Third Proportional to 81,837.84 and 176,585.06

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Solution

The third proportional to 81,837.84 and 176,585.06 is: 381,025.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,837.84 : 176,585.06 = 176,585.06 : x
  2. Step 2: Convert to fraction form
    81,837.84/176,585.06 = 176,585.06/x
  3. Step 3: Cross multiply
    81,837.84x = 176,585.06 × 176,585.06
  4. Step 4: Simplify right side
    81,837.84x = 31,182,284,298.13
  5. Step 5: Solve for x
    x = 31,182,284,298.13/81,837.84
  6. Step 6: Final answer
    x = 381,025.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.