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Finding the Third Proportional to 113,544 and 162,934

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Solution

The third proportional to 113,544 and 162,934 is: 233,807.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,544 : 162,934 = 162,934 : x
  2. Step 2: Convert to fraction form
    113,544/162,934 = 162,934/x
  3. Step 3: Cross multiply
    113,544x = 162,934 × 162,934
  4. Step 4: Simplify right side
    113,544x = 26,547,488,356
  5. Step 5: Solve for x
    x = 26,547,488,356/113,544
  6. Step 6: Final answer
    x = 233,807.94

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.