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Finding the Third Proportional to 56,670 and 83,438

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Solution

The third proportional to 56,670 and 83,438 is: 122,849.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,670 : 83,438 = 83,438 : x
  2. Step 2: Convert to fraction form
    56,670/83,438 = 83,438/x
  3. Step 3: Cross multiply
    56,670x = 83,438 × 83,438
  4. Step 4: Simplify right side
    56,670x = 6,961,899,844
  5. Step 5: Solve for x
    x = 6,961,899,844/56,670
  6. Step 6: Final answer
    x = 122,849.83

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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.