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Finding the Third Proportional to 86,196 and 128,775

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Solution

The third proportional to 86,196 and 128,775 is: 192,387.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,196 : 128,775 = 128,775 : x
  2. Step 2: Convert to fraction form
    86,196/128,775 = 128,775/x
  3. Step 3: Cross multiply
    86,196x = 128,775 × 128,775
  4. Step 4: Simplify right side
    86,196x = 16,583,000,625
  5. Step 5: Solve for x
    x = 16,583,000,625/86,196
  6. Step 6: Final answer
    x = 192,387.12

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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.