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Finding the Third Proportional to 82,144 and 176,557

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Solution

The third proportional to 82,144 and 176,557 is: 379,484.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,144 : 176,557 = 176,557 : x
  2. Step 2: Convert to fraction form
    82,144/176,557 = 176,557/x
  3. Step 3: Cross multiply
    82,144x = 176,557 × 176,557
  4. Step 4: Simplify right side
    82,144x = 31,172,374,249
  5. Step 5: Solve for x
    x = 31,172,374,249/82,144
  6. Step 6: Final answer
    x = 379,484.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.