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Finding the Third Proportional to 57,792 and 124,205

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Solution

The third proportional to 57,792 and 124,205 is: 266,938.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,792 : 124,205 = 124,205 : x
  2. Step 2: Convert to fraction form
    57,792/124,205 = 124,205/x
  3. Step 3: Cross multiply
    57,792x = 124,205 × 124,205
  4. Step 4: Simplify right side
    57,792x = 15,426,882,025
  5. Step 5: Solve for x
    x = 15,426,882,025/57,792
  6. Step 6: Final answer
    x = 266,938.02

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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.