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Finding the Third Proportional to 85,235 and 127,853

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Solution

The third proportional to 85,235 and 127,853 is: 191,780.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,235 : 127,853 = 127,853 : x
  2. Step 2: Convert to fraction form
    85,235/127,853 = 127,853/x
  3. Step 3: Cross multiply
    85,235x = 127,853 × 127,853
  4. Step 4: Simplify right side
    85,235x = 16,346,389,609
  5. Step 5: Solve for x
    x = 16,346,389,609/85,235
  6. Step 6: Final answer
    x = 191,780.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.