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Finding the Third Proportional to 58,510.50 and 123,993

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Solution

The third proportional to 58,510.50 and 123,993 is: 262,760.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,510.50 : 123,993 = 123,993 : x
  2. Step 2: Convert to fraction form
    58,510.50/123,993 = 123,993/x
  3. Step 3: Cross multiply
    58,510.50x = 123,993 × 123,993
  4. Step 4: Simplify right side
    58,510.50x = 15,374,264,049
  5. Step 5: Solve for x
    x = 15,374,264,049/58,510.50
  6. Step 6: Final answer
    x = 262,760.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.