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Finding the Third Proportional to 124,724 and 273,594

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Solution

The third proportional to 124,724 and 273,594 is: 600,154.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,724 : 273,594 = 273,594 : x
  2. Step 2: Convert to fraction form
    124,724/273,594 = 273,594/x
  3. Step 3: Cross multiply
    124,724x = 273,594 × 273,594
  4. Step 4: Simplify right side
    124,724x = 74,853,676,836
  5. Step 5: Solve for x
    x = 74,853,676,836/124,724
  6. Step 6: Final answer
    x = 600,154.56

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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.