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Finding the Third Proportional to 124,974 and 178,588.13

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Solution

The third proportional to 124,974 and 178,588.13 is: 255,202.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,974 : 178,588.13 = 178,588.13 : x
  2. Step 2: Convert to fraction form
    124,974/178,588.13 = 178,588.13/x
  3. Step 3: Cross multiply
    124,974x = 178,588.13 × 178,588.13
  4. Step 4: Simplify right side
    124,974x = 31,893,718,391.02
  5. Step 5: Solve for x
    x = 31,893,718,391.02/124,974
  6. Step 6: Final answer
    x = 255,202.83

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.