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Finding the Third Proportional to 110,701 and 237,527.75

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Solution

The third proportional to 110,701 and 237,527.75 is: 509,656.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,701 : 237,527.75 = 237,527.75 : x
  2. Step 2: Convert to fraction form
    110,701/237,527.75 = 237,527.75/x
  3. Step 3: Cross multiply
    110,701x = 237,527.75 × 237,527.75
  4. Step 4: Simplify right side
    110,701x = 56,419,432,020.06
  5. Step 5: Solve for x
    x = 56,419,432,020.06/110,701
  6. Step 6: Final answer
    x = 509,656.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.