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Finding the Third Proportional to 57,510 and 77,293

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Solution

The third proportional to 57,510 and 77,293 is: 103,881.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,510 : 77,293 = 77,293 : x
  2. Step 2: Convert to fraction form
    57,510/77,293 = 77,293/x
  3. Step 3: Cross multiply
    57,510x = 77,293 × 77,293
  4. Step 4: Simplify right side
    57,510x = 5,974,207,849
  5. Step 5: Solve for x
    x = 5,974,207,849/57,510
  6. Step 6: Final answer
    x = 103,881.20

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.