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Finding the Third Proportional to 96,731 and 147,959

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Solution

The third proportional to 96,731 and 147,959 is: 226,316.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,731 : 147,959 = 147,959 : x
  2. Step 2: Convert to fraction form
    96,731/147,959 = 147,959/x
  3. Step 3: Cross multiply
    96,731x = 147,959 × 147,959
  4. Step 4: Simplify right side
    96,731x = 21,891,865,681
  5. Step 5: Solve for x
    x = 21,891,865,681/96,731
  6. Step 6: Final answer
    x = 226,316.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.