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Finding the Third Proportional to 70,074 and 105,840

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Solution

The third proportional to 70,074 and 105,840 is: 159,861.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,074 : 105,840 = 105,840 : x
  2. Step 2: Convert to fraction form
    70,074/105,840 = 105,840/x
  3. Step 3: Cross multiply
    70,074x = 105,840 × 105,840
  4. Step 4: Simplify right side
    70,074x = 11,202,105,600
  5. Step 5: Solve for x
    x = 11,202,105,600/70,074
  6. Step 6: Final answer
    x = 159,861.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.