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Finding the Third Proportional to 49,526 and 77,327

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Solution

The third proportional to 49,526 and 77,327 is: 120,733.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,526 : 77,327 = 77,327 : x
  2. Step 2: Convert to fraction form
    49,526/77,327 = 77,327/x
  3. Step 3: Cross multiply
    49,526x = 77,327 × 77,327
  4. Step 4: Simplify right side
    49,526x = 5,979,464,929
  5. Step 5: Solve for x
    x = 5,979,464,929/49,526
  6. Step 6: Final answer
    x = 120,733.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.