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Finding the Third Proportional to 63,017 and 121,415

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Solution

The third proportional to 63,017 and 121,415 is: 233,930.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,017 : 121,415 = 121,415 : x
  2. Step 2: Convert to fraction form
    63,017/121,415 = 121,415/x
  3. Step 3: Cross multiply
    63,017x = 121,415 × 121,415
  4. Step 4: Simplify right side
    63,017x = 14,741,602,225
  5. Step 5: Solve for x
    x = 14,741,602,225/63,017
  6. Step 6: Final answer
    x = 233,930.56

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.