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Finding the Third Proportional to 70,993 and 156,748

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Solution

The third proportional to 70,993 and 156,748 is: 346,089.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,993 : 156,748 = 156,748 : x
  2. Step 2: Convert to fraction form
    70,993/156,748 = 156,748/x
  3. Step 3: Cross multiply
    70,993x = 156,748 × 156,748
  4. Step 4: Simplify right side
    70,993x = 24,569,935,504
  5. Step 5: Solve for x
    x = 24,569,935,504/70,993
  6. Step 6: Final answer
    x = 346,089.55

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.