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Finding the Third Proportional to 105,510.75 and 244,047.75

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Solution

The third proportional to 105,510.75 and 244,047.75 is: 564,485.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,510.75 : 244,047.75 = 244,047.75 : x
  2. Step 2: Convert to fraction form
    105,510.75/244,047.75 = 244,047.75/x
  3. Step 3: Cross multiply
    105,510.75x = 244,047.75 × 244,047.75
  4. Step 4: Simplify right side
    105,510.75x = 59,559,304,280.06
  5. Step 5: Solve for x
    x = 59,559,304,280.06/105,510.75
  6. Step 6: Final answer
    x = 564,485.65

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.