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Finding the Third Proportional to 70,396 and 103,720

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Solution

The third proportional to 70,396 and 103,720 is: 152,818.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,396 : 103,720 = 103,720 : x
  2. Step 2: Convert to fraction form
    70,396/103,720 = 103,720/x
  3. Step 3: Cross multiply
    70,396x = 103,720 × 103,720
  4. Step 4: Simplify right side
    70,396x = 10,757,838,400
  5. Step 5: Solve for x
    x = 10,757,838,400/70,396
  6. Step 6: Final answer
    x = 152,818.89

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.