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Finding the Third Proportional to 50,023 and 70,352

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Solution

The third proportional to 50,023 and 70,352 is: 98,942.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,023 : 70,352 = 70,352 : x
  2. Step 2: Convert to fraction form
    50,023/70,352 = 70,352/x
  3. Step 3: Cross multiply
    50,023x = 70,352 × 70,352
  4. Step 4: Simplify right side
    50,023x = 4,949,403,904
  5. Step 5: Solve for x
    x = 4,949,403,904/50,023
  6. Step 6: Final answer
    x = 98,942.56

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.