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Finding the Third Proportional to 86,420 and 141,115

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Solution

The third proportional to 86,420 and 141,115 is: 230,426.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,420 : 141,115 = 141,115 : x
  2. Step 2: Convert to fraction form
    86,420/141,115 = 141,115/x
  3. Step 3: Cross multiply
    86,420x = 141,115 × 141,115
  4. Step 4: Simplify right side
    86,420x = 19,913,443,225
  5. Step 5: Solve for x
    x = 19,913,443,225/86,420
  6. Step 6: Final answer
    x = 230,426.33

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.