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Finding the Third Proportional to 92,178 and 137,679.75

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Solution

The third proportional to 92,178 and 137,679.75 is: 205,642.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,178 : 137,679.75 = 137,679.75 : x
  2. Step 2: Convert to fraction form
    92,178/137,679.75 = 137,679.75/x
  3. Step 3: Cross multiply
    92,178x = 137,679.75 × 137,679.75
  4. Step 4: Simplify right side
    92,178x = 18,955,713,560.06
  5. Step 5: Solve for x
    x = 18,955,713,560.06/92,178
  6. Step 6: Final answer
    x = 205,642.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.