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Finding the Third Proportional to 124,726 and 273,598

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Solution

The third proportional to 124,726 and 273,598 is: 600,162.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,726 : 273,598 = 273,598 : x
  2. Step 2: Convert to fraction form
    124,726/273,598 = 273,598/x
  3. Step 3: Cross multiply
    124,726x = 273,598 × 273,598
  4. Step 4: Simplify right side
    124,726x = 74,855,865,604
  5. Step 5: Solve for x
    x = 74,855,865,604/124,726
  6. Step 6: Final answer
    x = 600,162.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.