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Finding the Third Proportional to 52,696 and 77,072

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Solution

The third proportional to 52,696 and 77,072 is: 112,723.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,696 : 77,072 = 77,072 : x
  2. Step 2: Convert to fraction form
    52,696/77,072 = 77,072/x
  3. Step 3: Cross multiply
    52,696x = 77,072 × 77,072
  4. Step 4: Simplify right side
    52,696x = 5,940,093,184
  5. Step 5: Solve for x
    x = 5,940,093,184/52,696
  6. Step 6: Final answer
    x = 112,723.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.