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Finding the Third Proportional to 69,320 and 107,290

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Solution

The third proportional to 69,320 and 107,290 is: 166,058.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,320 : 107,290 = 107,290 : x
  2. Step 2: Convert to fraction form
    69,320/107,290 = 107,290/x
  3. Step 3: Cross multiply
    69,320x = 107,290 × 107,290
  4. Step 4: Simplify right side
    69,320x = 11,511,144,100
  5. Step 5: Solve for x
    x = 11,511,144,100/69,320
  6. Step 6: Final answer
    x = 166,058.05

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.