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Finding the Third Proportional to 52,113 and 122,895

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Solution

The third proportional to 52,113 and 122,895 is: 289,816.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,113 : 122,895 = 122,895 : x
  2. Step 2: Convert to fraction form
    52,113/122,895 = 122,895/x
  3. Step 3: Cross multiply
    52,113x = 122,895 × 122,895
  4. Step 4: Simplify right side
    52,113x = 15,103,181,025
  5. Step 5: Solve for x
    x = 15,103,181,025/52,113
  6. Step 6: Final answer
    x = 289,816.00

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.