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Finding the Third Proportional to 106,277.39 and 158,849.06

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Solution

The third proportional to 106,277.39 and 158,849.06 is: 237,426.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,277.39 : 158,849.06 = 158,849.06 : x
  2. Step 2: Convert to fraction form
    106,277.39/158,849.06 = 158,849.06/x
  3. Step 3: Cross multiply
    106,277.39x = 158,849.06 × 158,849.06
  4. Step 4: Simplify right side
    106,277.39x = 25,233,024,657.13
  5. Step 5: Solve for x
    x = 25,233,024,657.13/106,277.39
  6. Step 6: Final answer
    x = 237,426.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.