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Finding the Third Proportional to 107,373 and 242,583.75

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Solution

The third proportional to 107,373 and 242,583.75 is: 548,060.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,373 : 242,583.75 = 242,583.75 : x
  2. Step 2: Convert to fraction form
    107,373/242,583.75 = 242,583.75/x
  3. Step 3: Cross multiply
    107,373x = 242,583.75 × 242,583.75
  4. Step 4: Simplify right side
    107,373x = 58,846,875,764.06
  5. Step 5: Solve for x
    x = 58,846,875,764.06/107,373
  6. Step 6: Final answer
    x = 548,060.27

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.