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Finding the Third Proportional to 113,034 and 153,934

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Solution

The third proportional to 113,034 and 153,934 is: 209,633.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,034 : 153,934 = 153,934 : x
  2. Step 2: Convert to fraction form
    113,034/153,934 = 153,934/x
  3. Step 3: Cross multiply
    113,034x = 153,934 × 153,934
  4. Step 4: Simplify right side
    113,034x = 23,695,676,356
  5. Step 5: Solve for x
    x = 23,695,676,356/113,034
  6. Step 6: Final answer
    x = 209,633.18

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.