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Finding the Third Proportional to 52,034.50 and 127,549.50

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Solution

The third proportional to 52,034.50 and 127,549.50 is: 312,655.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,034.50 : 127,549.50 = 127,549.50 : x
  2. Step 2: Convert to fraction form
    52,034.50/127,549.50 = 127,549.50/x
  3. Step 3: Cross multiply
    52,034.50x = 127,549.50 × 127,549.50
  4. Step 4: Simplify right side
    52,034.50x = 16,268,874,950.25
  5. Step 5: Solve for x
    x = 16,268,874,950.25/52,034.50
  6. Step 6: Final answer
    x = 312,655.54

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.