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Finding the Third Proportional to 49,007 and 77,642

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Solution

The third proportional to 49,007 and 77,642 is: 123,008.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,007 : 77,642 = 77,642 : x
  2. Step 2: Convert to fraction form
    49,007/77,642 = 77,642/x
  3. Step 3: Cross multiply
    49,007x = 77,642 × 77,642
  4. Step 4: Simplify right side
    49,007x = 6,028,280,164
  5. Step 5: Solve for x
    x = 6,028,280,164/49,007
  6. Step 6: Final answer
    x = 123,008.55

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.