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Finding the Third Proportional to 124,715 and 282,722

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Solution

The third proportional to 124,715 and 282,722 is: 640,915.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,715 : 282,722 = 282,722 : x
  2. Step 2: Convert to fraction form
    124,715/282,722 = 282,722/x
  3. Step 3: Cross multiply
    124,715x = 282,722 × 282,722
  4. Step 4: Simplify right side
    124,715x = 79,931,729,284
  5. Step 5: Solve for x
    x = 79,931,729,284/124,715
  6. Step 6: Final answer
    x = 640,915.12

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.