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Finding the Third Proportional to 52,270 and 78,895

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Solution

The third proportional to 52,270 and 78,895 is: 119,082.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,270 : 78,895 = 78,895 : x
  2. Step 2: Convert to fraction form
    52,270/78,895 = 78,895/x
  3. Step 3: Cross multiply
    52,270x = 78,895 × 78,895
  4. Step 4: Simplify right side
    52,270x = 6,224,421,025
  5. Step 5: Solve for x
    x = 6,224,421,025/52,270
  6. Step 6: Final answer
    x = 119,082.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.