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Finding the Third Proportional to 75,198.38 and 160,547.06

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Solution

The third proportional to 75,198.38 and 160,547.06 is: 342,764.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,198.38 : 160,547.06 = 160,547.06 : x
  2. Step 2: Convert to fraction form
    75,198.38/160,547.06 = 160,547.06/x
  3. Step 3: Cross multiply
    75,198.38x = 160,547.06 × 160,547.06
  4. Step 4: Simplify right side
    75,198.38x = 25,775,359,277.38
  5. Step 5: Solve for x
    x = 25,775,359,277.38/75,198.38
  6. Step 6: Final answer
    x = 342,764.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.