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Finding the Third Proportional to 113,654 and 178,289

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Solution

The third proportional to 113,654 and 178,289 is: 279,681.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,654 : 178,289 = 178,289 : x
  2. Step 2: Convert to fraction form
    113,654/178,289 = 178,289/x
  3. Step 3: Cross multiply
    113,654x = 178,289 × 178,289
  4. Step 4: Simplify right side
    113,654x = 31,786,967,521
  5. Step 5: Solve for x
    x = 31,786,967,521/113,654
  6. Step 6: Final answer
    x = 279,681.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.