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Finding the Third Proportional to 45,217 and 71,654

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Solution

The third proportional to 45,217 and 71,654 is: 113,547.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,217 : 71,654 = 71,654 : x
  2. Step 2: Convert to fraction form
    45,217/71,654 = 71,654/x
  3. Step 3: Cross multiply
    45,217x = 71,654 × 71,654
  4. Step 4: Simplify right side
    45,217x = 5,134,295,716
  5. Step 5: Solve for x
    x = 5,134,295,716/45,217
  6. Step 6: Final answer
    x = 113,547.91

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.