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Finding the Third Proportional to 103,256 and 155,748

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Solution

The third proportional to 103,256 and 155,748 is: 234,925.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,256 : 155,748 = 155,748 : x
  2. Step 2: Convert to fraction form
    103,256/155,748 = 155,748/x
  3. Step 3: Cross multiply
    103,256x = 155,748 × 155,748
  4. Step 4: Simplify right side
    103,256x = 24,257,439,504
  5. Step 5: Solve for x
    x = 24,257,439,504/103,256
  6. Step 6: Final answer
    x = 234,925.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.