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Finding the Third Proportional to 70,452 and 143,784

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Solution

The third proportional to 70,452 and 143,784 is: 293,445.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,452 : 143,784 = 143,784 : x
  2. Step 2: Convert to fraction form
    70,452/143,784 = 143,784/x
  3. Step 3: Cross multiply
    70,452x = 143,784 × 143,784
  4. Step 4: Simplify right side
    70,452x = 20,673,838,656
  5. Step 5: Solve for x
    x = 20,673,838,656/70,452
  6. Step 6: Final answer
    x = 293,445.73

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.