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Finding the Third Proportional to 25,207 and 53,012

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Solution

The third proportional to 25,207 and 53,012 is: 111,487.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,207 : 53,012 = 53,012 : x
  2. Step 2: Convert to fraction form
    25,207/53,012 = 53,012/x
  3. Step 3: Cross multiply
    25,207x = 53,012 × 53,012
  4. Step 4: Simplify right side
    25,207x = 2,810,272,144
  5. Step 5: Solve for x
    x = 2,810,272,144/25,207
  6. Step 6: Final answer
    x = 111,487.77

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.