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Finding the Third Proportional to 86,547.38 and 179,974.13

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Solution

The third proportional to 86,547.38 and 179,974.13 is: 374,253.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,547.38 : 179,974.13 = 179,974.13 : x
  2. Step 2: Convert to fraction form
    86,547.38/179,974.13 = 179,974.13/x
  3. Step 3: Cross multiply
    86,547.38x = 179,974.13 × 179,974.13
  4. Step 4: Simplify right side
    86,547.38x = 32,390,685,669.52
  5. Step 5: Solve for x
    x = 32,390,685,669.52/86,547.38
  6. Step 6: Final answer
    x = 374,253.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.