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Finding the Third Proportional to 52,922 and 72,071

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Solution

The third proportional to 52,922 and 72,071 is: 98,148.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,922 : 72,071 = 72,071 : x
  2. Step 2: Convert to fraction form
    52,922/72,071 = 72,071/x
  3. Step 3: Cross multiply
    52,922x = 72,071 × 72,071
  4. Step 4: Simplify right side
    52,922x = 5,194,229,041
  5. Step 5: Solve for x
    x = 5,194,229,041/52,922
  6. Step 6: Final answer
    x = 98,148.77

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.