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Finding the Third Proportional to 52,432.50 and 114,080.50

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Solution

The third proportional to 52,432.50 and 114,080.50 is: 248,211.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,432.50 : 114,080.50 = 114,080.50 : x
  2. Step 2: Convert to fraction form
    52,432.50/114,080.50 = 114,080.50/x
  3. Step 3: Cross multiply
    52,432.50x = 114,080.50 × 114,080.50
  4. Step 4: Simplify right side
    52,432.50x = 13,014,360,480.25
  5. Step 5: Solve for x
    x = 13,014,360,480.25/52,432.50
  6. Step 6: Final answer
    x = 248,211.71

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.