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Finding the Third Proportional to 58,531.50 and 130,200.75

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Solution

The third proportional to 58,531.50 and 130,200.75 is: 289,625.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,531.50 : 130,200.75 = 130,200.75 : x
  2. Step 2: Convert to fraction form
    58,531.50/130,200.75 = 130,200.75/x
  3. Step 3: Cross multiply
    58,531.50x = 130,200.75 × 130,200.75
  4. Step 4: Simplify right side
    58,531.50x = 16,952,235,300.56
  5. Step 5: Solve for x
    x = 16,952,235,300.56/58,531.50
  6. Step 6: Final answer
    x = 289,625.85

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.