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Finding the Third Proportional to 59,449.50 and 130,352.50

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Solution

The third proportional to 59,449.50 and 130,352.50 is: 285,818.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,449.50 : 130,352.50 = 130,352.50 : x
  2. Step 2: Convert to fraction form
    59,449.50/130,352.50 = 130,352.50/x
  3. Step 3: Cross multiply
    59,449.50x = 130,352.50 × 130,352.50
  4. Step 4: Simplify right side
    59,449.50x = 16,991,774,256.25
  5. Step 5: Solve for x
    x = 16,991,774,256.25/59,449.50
  6. Step 6: Final answer
    x = 285,818.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.