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Finding the Third Proportional to 52,180 and 69,905

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Solution

The third proportional to 52,180 and 69,905 is: 93,651.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,180 : 69,905 = 69,905 : x
  2. Step 2: Convert to fraction form
    52,180/69,905 = 69,905/x
  3. Step 3: Cross multiply
    52,180x = 69,905 × 69,905
  4. Step 4: Simplify right side
    52,180x = 4,886,709,025
  5. Step 5: Solve for x
    x = 4,886,709,025/52,180
  6. Step 6: Final answer
    x = 93,651.00

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.