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Finding the Third Proportional to 50,301 and 68,070.38

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Solution

The third proportional to 50,301 and 68,070.38 is: 92,116.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,301 : 68,070.38 = 68,070.38 : x
  2. Step 2: Convert to fraction form
    50,301/68,070.38 = 68,070.38/x
  3. Step 3: Cross multiply
    50,301x = 68,070.38 × 68,070.38
  4. Step 4: Simplify right side
    50,301x = 4,633,575,952.64
  5. Step 5: Solve for x
    x = 4,633,575,952.64/50,301
  6. Step 6: Final answer
    x = 92,116.97

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.