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Finding the Third Proportional to 68,373 and 103,502.81

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Solution

The third proportional to 68,373 and 103,502.81 is: 156,682.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,373 : 103,502.81 = 103,502.81 : x
  2. Step 2: Convert to fraction form
    68,373/103,502.81 = 103,502.81/x
  3. Step 3: Cross multiply
    68,373x = 103,502.81 × 103,502.81
  4. Step 4: Simplify right side
    68,373x = 10,712,832,195.41
  5. Step 5: Solve for x
    x = 10,712,832,195.41/68,373
  6. Step 6: Final answer
    x = 156,682.20

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