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Finding the Third Proportional to 52,542 and 115,303.50

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Solution

The third proportional to 52,542 and 115,303.50 is: 253,033.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,542 : 115,303.50 = 115,303.50 : x
  2. Step 2: Convert to fraction form
    52,542/115,303.50 = 115,303.50/x
  3. Step 3: Cross multiply
    52,542x = 115,303.50 × 115,303.50
  4. Step 4: Simplify right side
    52,542x = 13,294,897,112.25
  5. Step 5: Solve for x
    x = 13,294,897,112.25/52,542
  6. Step 6: Final answer
    x = 253,033.71

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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.