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Finding the Third Proportional to 112,282 and 178,566

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Solution

The third proportional to 112,282 and 178,566 is: 283,979.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,282 : 178,566 = 178,566 : x
  2. Step 2: Convert to fraction form
    112,282/178,566 = 178,566/x
  3. Step 3: Cross multiply
    112,282x = 178,566 × 178,566
  4. Step 4: Simplify right side
    112,282x = 31,885,816,356
  5. Step 5: Solve for x
    x = 31,885,816,356/112,282
  6. Step 6: Final answer
    x = 283,979.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.