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Finding the Third Proportional to 56,677 and 83,287

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Solution

The third proportional to 56,677 and 83,287 is: 122,390.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,677 : 83,287 = 83,287 : x
  2. Step 2: Convert to fraction form
    56,677/83,287 = 83,287/x
  3. Step 3: Cross multiply
    56,677x = 83,287 × 83,287
  4. Step 4: Simplify right side
    56,677x = 6,936,724,369
  5. Step 5: Solve for x
    x = 6,936,724,369/56,677
  6. Step 6: Final answer
    x = 122,390.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.