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Finding the Third Proportional to 113,820 and 124,026

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Solution

The third proportional to 113,820 and 124,026 is: 135,147.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,820 : 124,026 = 124,026 : x
  2. Step 2: Convert to fraction form
    113,820/124,026 = 124,026/x
  3. Step 3: Cross multiply
    113,820x = 124,026 × 124,026
  4. Step 4: Simplify right side
    113,820x = 15,382,448,676
  5. Step 5: Solve for x
    x = 15,382,448,676/113,820
  6. Step 6: Final answer
    x = 135,147.15

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.