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Finding the Third Proportional to 52,267.50 and 114,543

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Solution

The third proportional to 52,267.50 and 114,543 is: 251,018.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,267.50 : 114,543 = 114,543 : x
  2. Step 2: Convert to fraction form
    52,267.50/114,543 = 114,543/x
  3. Step 3: Cross multiply
    52,267.50x = 114,543 × 114,543
  4. Step 4: Simplify right side
    52,267.50x = 13,120,098,849
  5. Step 5: Solve for x
    x = 13,120,098,849/52,267.50
  6. Step 6: Final answer
    x = 251,018.30

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