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Finding the Third Proportional to 52,539 and 114,010

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Solution

The third proportional to 52,539 and 114,010 is: 247,402.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,539 : 114,010 = 114,010 : x
  2. Step 2: Convert to fraction form
    52,539/114,010 = 114,010/x
  3. Step 3: Cross multiply
    52,539x = 114,010 × 114,010
  4. Step 4: Simplify right side
    52,539x = 12,998,280,100
  5. Step 5: Solve for x
    x = 12,998,280,100/52,539
  6. Step 6: Final answer
    x = 247,402.50

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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.