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Finding the Third Proportional to 59,576.50 and 130,999.50

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Solution

The third proportional to 59,576.50 and 130,999.50 is: 288,047.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,576.50 : 130,999.50 = 130,999.50 : x
  2. Step 2: Convert to fraction form
    59,576.50/130,999.50 = 130,999.50/x
  3. Step 3: Cross multiply
    59,576.50x = 130,999.50 × 130,999.50
  4. Step 4: Simplify right side
    59,576.50x = 17,160,869,000.25
  5. Step 5: Solve for x
    x = 17,160,869,000.25/59,576.50
  6. Step 6: Final answer
    x = 288,047.62

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.