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Finding the Third Proportional to 68,032.41 and 147,870.56

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Solution

The third proportional to 68,032.41 and 147,870.56 is: 321,401.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,032.41 : 147,870.56 = 147,870.56 : x
  2. Step 2: Convert to fraction form
    68,032.41/147,870.56 = 147,870.56/x
  3. Step 3: Cross multiply
    68,032.41x = 147,870.56 × 147,870.56
  4. Step 4: Simplify right side
    68,032.41x = 21,865,703,254.07
  5. Step 5: Solve for x
    x = 21,865,703,254.07/68,032.41
  6. Step 6: Final answer
    x = 321,401.29

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.