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Finding the Third Proportional to 70,144 and 155,047

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Solution

The third proportional to 70,144 and 155,047 is: 342,717.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,144 : 155,047 = 155,047 : x
  2. Step 2: Convert to fraction form
    70,144/155,047 = 155,047/x
  3. Step 3: Cross multiply
    70,144x = 155,047 × 155,047
  4. Step 4: Simplify right side
    70,144x = 24,039,572,209
  5. Step 5: Solve for x
    x = 24,039,572,209/70,144
  6. Step 6: Final answer
    x = 342,717.44

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.