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Finding the Third Proportional to 58,820 and 126,466

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Solution

The third proportional to 58,820 and 126,466 is: 271,908.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,820 : 126,466 = 126,466 : x
  2. Step 2: Convert to fraction form
    58,820/126,466 = 126,466/x
  3. Step 3: Cross multiply
    58,820x = 126,466 × 126,466
  4. Step 4: Simplify right side
    58,820x = 15,993,649,156
  5. Step 5: Solve for x
    x = 15,993,649,156/58,820
  6. Step 6: Final answer
    x = 271,908.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.