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Finding the Third Proportional to 50,343 and 70,569

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Solution

The third proportional to 50,343 and 70,569 is: 98,921.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,343 : 70,569 = 70,569 : x
  2. Step 2: Convert to fraction form
    50,343/70,569 = 70,569/x
  3. Step 3: Cross multiply
    50,343x = 70,569 × 70,569
  4. Step 4: Simplify right side
    50,343x = 4,979,983,761
  5. Step 5: Solve for x
    x = 4,979,983,761/50,343
  6. Step 6: Final answer
    x = 98,921.08

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.