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Finding the Third Proportional to 55,293 and 83,217

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Solution

The third proportional to 55,293 and 83,217 is: 125,243.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,293 : 83,217 = 83,217 : x
  2. Step 2: Convert to fraction form
    55,293/83,217 = 83,217/x
  3. Step 3: Cross multiply
    55,293x = 83,217 × 83,217
  4. Step 4: Simplify right side
    55,293x = 6,925,069,089
  5. Step 5: Solve for x
    x = 6,925,069,089/55,293
  6. Step 6: Final answer
    x = 125,243.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.