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Finding the Third Proportional to 71,700 and 100,290

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Solution

The third proportional to 71,700 and 100,290 is: 140,280.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,700 : 100,290 = 100,290 : x
  2. Step 2: Convert to fraction form
    71,700/100,290 = 100,290/x
  3. Step 3: Cross multiply
    71,700x = 100,290 × 100,290
  4. Step 4: Simplify right side
    71,700x = 10,058,084,100
  5. Step 5: Solve for x
    x = 10,058,084,100/71,700
  6. Step 6: Final answer
    x = 140,280.11

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.