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Finding the Third Proportional to 74,998 and 116,279

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Solution

The third proportional to 74,998 and 116,279 is: 180,282.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,998 : 116,279 = 116,279 : x
  2. Step 2: Convert to fraction form
    74,998/116,279 = 116,279/x
  3. Step 3: Cross multiply
    74,998x = 116,279 × 116,279
  4. Step 4: Simplify right side
    74,998x = 13,520,805,841
  5. Step 5: Solve for x
    x = 13,520,805,841/74,998
  6. Step 6: Final answer
    x = 180,282.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.