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Finding the Third Proportional to 106,752.94 and 160,061.06

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Solution

The third proportional to 106,752.94 and 160,061.06 is: 239,989.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,752.94 : 160,061.06 = 160,061.06 : x
  2. Step 2: Convert to fraction form
    106,752.94/160,061.06 = 160,061.06/x
  3. Step 3: Cross multiply
    106,752.94x = 160,061.06 × 160,061.06
  4. Step 4: Simplify right side
    106,752.94x = 25,619,543,728.63
  5. Step 5: Solve for x
    x = 25,619,543,728.63/106,752.94
  6. Step 6: Final answer
    x = 239,989.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.