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Finding the Third Proportional to 70,701 and 152,471.75

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Solution

The third proportional to 70,701 and 152,471.75 is: 328,816.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,701 : 152,471.75 = 152,471.75 : x
  2. Step 2: Convert to fraction form
    70,701/152,471.75 = 152,471.75/x
  3. Step 3: Cross multiply
    70,701x = 152,471.75 × 152,471.75
  4. Step 4: Simplify right side
    70,701x = 23,247,634,548.06
  5. Step 5: Solve for x
    x = 23,247,634,548.06/70,701
  6. Step 6: Final answer
    x = 328,816.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.