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Finding the Third Proportional to 86,338 and 133,341

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Solution

The third proportional to 86,338 and 133,341 is: 205,932.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,338 : 133,341 = 133,341 : x
  2. Step 2: Convert to fraction form
    86,338/133,341 = 133,341/x
  3. Step 3: Cross multiply
    86,338x = 133,341 × 133,341
  4. Step 4: Simplify right side
    86,338x = 17,779,822,281
  5. Step 5: Solve for x
    x = 17,779,822,281/86,338
  6. Step 6: Final answer
    x = 205,932.76

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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.