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Finding the Third Proportional to 56,062 and 83,293

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Solution

The third proportional to 56,062 and 83,293 is: 123,750.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,062 : 83,293 = 83,293 : x
  2. Step 2: Convert to fraction form
    56,062/83,293 = 83,293/x
  3. Step 3: Cross multiply
    56,062x = 83,293 × 83,293
  4. Step 4: Simplify right side
    56,062x = 6,937,723,849
  5. Step 5: Solve for x
    x = 6,937,723,849/56,062
  6. Step 6: Final answer
    x = 123,750.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.