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Finding the Third Proportional to 70,982 and 109,890

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Solution

The third proportional to 70,982 and 109,890 is: 170,124.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,982 : 109,890 = 109,890 : x
  2. Step 2: Convert to fraction form
    70,982/109,890 = 109,890/x
  3. Step 3: Cross multiply
    70,982x = 109,890 × 109,890
  4. Step 4: Simplify right side
    70,982x = 12,075,812,100
  5. Step 5: Solve for x
    x = 12,075,812,100/70,982
  6. Step 6: Final answer
    x = 170,124.99

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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.