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Finding the Third Proportional to 59,926.50 and 130,314

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Solution

The third proportional to 59,926.50 and 130,314 is: 283,376.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,926.50 : 130,314 = 130,314 : x
  2. Step 2: Convert to fraction form
    59,926.50/130,314 = 130,314/x
  3. Step 3: Cross multiply
    59,926.50x = 130,314 × 130,314
  4. Step 4: Simplify right side
    59,926.50x = 16,981,738,596
  5. Step 5: Solve for x
    x = 16,981,738,596/59,926.50
  6. Step 6: Final answer
    x = 283,376.11

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.