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Finding the Third Proportional to 52,534 and 77,073

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Solution

The third proportional to 52,534 and 77,073 is: 113,074.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,534 : 77,073 = 77,073 : x
  2. Step 2: Convert to fraction form
    52,534/77,073 = 77,073/x
  3. Step 3: Cross multiply
    52,534x = 77,073 × 77,073
  4. Step 4: Simplify right side
    52,534x = 5,940,247,329
  5. Step 5: Solve for x
    x = 5,940,247,329/52,534
  6. Step 6: Final answer
    x = 113,074.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.