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Finding the Third Proportional to 52,754 and 115,300

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Solution

The third proportional to 52,754 and 115,300 is: 252,001.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,754 : 115,300 = 115,300 : x
  2. Step 2: Convert to fraction form
    52,754/115,300 = 115,300/x
  3. Step 3: Cross multiply
    52,754x = 115,300 × 115,300
  4. Step 4: Simplify right side
    52,754x = 13,294,090,000
  5. Step 5: Solve for x
    x = 13,294,090,000/52,754
  6. Step 6: Final answer
    x = 252,001.55

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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.