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Finding the Third Proportional to 52,598 and 70,869

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Solution

The third proportional to 52,598 and 70,869 is: 95,486.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,598 : 70,869 = 70,869 : x
  2. Step 2: Convert to fraction form
    52,598/70,869 = 70,869/x
  3. Step 3: Cross multiply
    52,598x = 70,869 × 70,869
  4. Step 4: Simplify right side
    52,598x = 5,022,415,161
  5. Step 5: Solve for x
    x = 5,022,415,161/52,598
  6. Step 6: Final answer
    x = 95,486.81

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.