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Finding the Third Proportional to 52,608 and 114,211.50

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Solution

The third proportional to 52,608 and 114,211.50 is: 247,952.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,608 : 114,211.50 = 114,211.50 : x
  2. Step 2: Convert to fraction form
    52,608/114,211.50 = 114,211.50/x
  3. Step 3: Cross multiply
    52,608x = 114,211.50 × 114,211.50
  4. Step 4: Simplify right side
    52,608x = 13,044,266,732.25
  5. Step 5: Solve for x
    x = 13,044,266,732.25/52,608
  6. Step 6: Final answer
    x = 247,952.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.