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Finding the Third Proportional to 124,830 and 260,026

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Solution

The third proportional to 124,830 and 260,026 is: 541,644.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,830 : 260,026 = 260,026 : x
  2. Step 2: Convert to fraction form
    124,830/260,026 = 260,026/x
  3. Step 3: Cross multiply
    124,830x = 260,026 × 260,026
  4. Step 4: Simplify right side
    124,830x = 67,613,520,676
  5. Step 5: Solve for x
    x = 67,613,520,676/124,830
  6. Step 6: Final answer
    x = 541,644.80

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.