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Finding the Third Proportional to 92,115 and 142,241

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Solution

The third proportional to 92,115 and 142,241 is: 219,643.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,115 : 142,241 = 142,241 : x
  2. Step 2: Convert to fraction form
    92,115/142,241 = 142,241/x
  3. Step 3: Cross multiply
    92,115x = 142,241 × 142,241
  4. Step 4: Simplify right side
    92,115x = 20,232,502,081
  5. Step 5: Solve for x
    x = 20,232,502,081/92,115
  6. Step 6: Final answer
    x = 219,643.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.