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Finding the Third Proportional to 52,154 and 70,859

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Solution

The third proportional to 52,154 and 70,859 is: 96,272.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,154 : 70,859 = 70,859 : x
  2. Step 2: Convert to fraction form
    52,154/70,859 = 70,859/x
  3. Step 3: Cross multiply
    52,154x = 70,859 × 70,859
  4. Step 4: Simplify right side
    52,154x = 5,020,997,881
  5. Step 5: Solve for x
    x = 5,020,997,881/52,154
  6. Step 6: Final answer
    x = 96,272.54

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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.