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Finding the Third Proportional to 70,153.31 and 106,981.31

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Solution

The third proportional to 70,153.31 and 106,981.31 is: 163,142.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,153.31 : 106,981.31 = 106,981.31 : x
  2. Step 2: Convert to fraction form
    70,153.31/106,981.31 = 106,981.31/x
  3. Step 3: Cross multiply
    70,153.31x = 106,981.31 × 106,981.31
  4. Step 4: Simplify right side
    70,153.31x = 11,445,001,224.22
  5. Step 5: Solve for x
    x = 11,445,001,224.22/70,153.31
  6. Step 6: Final answer
    x = 163,142.71

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.