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Finding the Third Proportional to 63,356 and 100,317

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Solution

The third proportional to 63,356 and 100,317 is: 158,840.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,356 : 100,317 = 100,317 : x
  2. Step 2: Convert to fraction form
    63,356/100,317 = 100,317/x
  3. Step 3: Cross multiply
    63,356x = 100,317 × 100,317
  4. Step 4: Simplify right side
    63,356x = 10,063,500,489
  5. Step 5: Solve for x
    x = 10,063,500,489/63,356
  6. Step 6: Final answer
    x = 158,840.53

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.