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Finding the Third Proportional to 124,717.50 and 273,582

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Solution

The third proportional to 124,717.50 and 273,582 is: 600,133.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,717.50 : 273,582 = 273,582 : x
  2. Step 2: Convert to fraction form
    124,717.50/273,582 = 273,582/x
  3. Step 3: Cross multiply
    124,717.50x = 273,582 × 273,582
  4. Step 4: Simplify right side
    124,717.50x = 74,847,110,724
  5. Step 5: Solve for x
    x = 74,847,110,724/124,717.50
  6. Step 6: Final answer
    x = 600,133.19

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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.