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Finding the Third Proportional to 70,390 and 109,084

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Solution

The third proportional to 70,390 and 109,084 is: 169,048.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,390 : 109,084 = 109,084 : x
  2. Step 2: Convert to fraction form
    70,390/109,084 = 109,084/x
  3. Step 3: Cross multiply
    70,390x = 109,084 × 109,084
  4. Step 4: Simplify right side
    70,390x = 11,899,319,056
  5. Step 5: Solve for x
    x = 11,899,319,056/70,390
  6. Step 6: Final answer
    x = 169,048.43

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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.