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Finding the Third Proportional to 63,706 and 134,996

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Solution

The third proportional to 63,706 and 134,996 is: 286,062.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,706 : 134,996 = 134,996 : x
  2. Step 2: Convert to fraction form
    63,706/134,996 = 134,996/x
  3. Step 3: Cross multiply
    63,706x = 134,996 × 134,996
  4. Step 4: Simplify right side
    63,706x = 18,223,920,016
  5. Step 5: Solve for x
    x = 18,223,920,016/63,706
  6. Step 6: Final answer
    x = 286,062.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.