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Finding the Third Proportional to 85,882 and 183,557

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Solution

The third proportional to 85,882 and 183,557 is: 392,319.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,882 : 183,557 = 183,557 : x
  2. Step 2: Convert to fraction form
    85,882/183,557 = 183,557/x
  3. Step 3: Cross multiply
    85,882x = 183,557 × 183,557
  4. Step 4: Simplify right side
    85,882x = 33,693,172,249
  5. Step 5: Solve for x
    x = 33,693,172,249/85,882
  6. Step 6: Final answer
    x = 392,319.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.