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Finding the Third Proportional to 45,547.75 and 100,062.75

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Solution

The third proportional to 45,547.75 and 100,062.75 is: 219,825.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,547.75 : 100,062.75 = 100,062.75 : x
  2. Step 2: Convert to fraction form
    45,547.75/100,062.75 = 100,062.75/x
  3. Step 3: Cross multiply
    45,547.75x = 100,062.75 × 100,062.75
  4. Step 4: Simplify right side
    45,547.75x = 10,012,553,937.56
  5. Step 5: Solve for x
    x = 10,012,553,937.56/45,547.75
  6. Step 6: Final answer
    x = 219,825.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.