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Finding the Third Proportional to 70,290 and 111,695

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Solution

The third proportional to 70,290 and 111,695 is: 177,490.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,290 : 111,695 = 111,695 : x
  2. Step 2: Convert to fraction form
    70,290/111,695 = 111,695/x
  3. Step 3: Cross multiply
    70,290x = 111,695 × 111,695
  4. Step 4: Simplify right side
    70,290x = 12,475,773,025
  5. Step 5: Solve for x
    x = 12,475,773,025/70,290
  6. Step 6: Final answer
    x = 177,490.01

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.