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Finding the Third Proportional to 60,723 and 130,518

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Solution

The third proportional to 60,723 and 130,518 is: 280,535.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,723 : 130,518 = 130,518 : x
  2. Step 2: Convert to fraction form
    60,723/130,518 = 130,518/x
  3. Step 3: Cross multiply
    60,723x = 130,518 × 130,518
  4. Step 4: Simplify right side
    60,723x = 17,034,948,324
  5. Step 5: Solve for x
    x = 17,034,948,324/60,723
  6. Step 6: Final answer
    x = 280,535.35

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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.