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Finding the Third Proportional to 60,631.50 and 142,926

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Solution

The third proportional to 60,631.50 and 142,926 is: 336,917.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,631.50 : 142,926 = 142,926 : x
  2. Step 2: Convert to fraction form
    60,631.50/142,926 = 142,926/x
  3. Step 3: Cross multiply
    60,631.50x = 142,926 × 142,926
  4. Step 4: Simplify right side
    60,631.50x = 20,427,841,476
  5. Step 5: Solve for x
    x = 20,427,841,476/60,631.50
  6. Step 6: Final answer
    x = 336,917.96

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.