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Finding the Third Proportional to 72,993 and 124,623.75

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Solution

The third proportional to 72,993 and 124,623.75 is: 212,774.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,993 : 124,623.75 = 124,623.75 : x
  2. Step 2: Convert to fraction form
    72,993/124,623.75 = 124,623.75/x
  3. Step 3: Cross multiply
    72,993x = 124,623.75 × 124,623.75
  4. Step 4: Simplify right side
    72,993x = 15,531,079,064.06
  5. Step 5: Solve for x
    x = 15,531,079,064.06/72,993
  6. Step 6: Final answer
    x = 212,774.91

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.