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Finding the Third Proportional to 49,142 and 77,938

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Solution

The third proportional to 49,142 and 77,938 is: 123,607.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,142 : 77,938 = 77,938 : x
  2. Step 2: Convert to fraction form
    49,142/77,938 = 77,938/x
  3. Step 3: Cross multiply
    49,142x = 77,938 × 77,938
  4. Step 4: Simplify right side
    49,142x = 6,074,331,844
  5. Step 5: Solve for x
    x = 6,074,331,844/49,142
  6. Step 6: Final answer
    x = 123,607.75

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.