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Finding the Third Proportional to 52,072 and 77,882

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Solution

The third proportional to 52,072 and 77,882 is: 116,484.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,072 : 77,882 = 77,882 : x
  2. Step 2: Convert to fraction form
    52,072/77,882 = 77,882/x
  3. Step 3: Cross multiply
    52,072x = 77,882 × 77,882
  4. Step 4: Simplify right side
    52,072x = 6,065,605,924
  5. Step 5: Solve for x
    x = 6,065,605,924/52,072
  6. Step 6: Final answer
    x = 116,484.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.