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Finding the Third Proportional to 102,249.50 and 157,934.25

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Solution

The third proportional to 102,249.50 and 157,934.25 is: 243,944.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,249.50 : 157,934.25 = 157,934.25 : x
  2. Step 2: Convert to fraction form
    102,249.50/157,934.25 = 157,934.25/x
  3. Step 3: Cross multiply
    102,249.50x = 157,934.25 × 157,934.25
  4. Step 4: Simplify right side
    102,249.50x = 24,943,227,323.06
  5. Step 5: Solve for x
    x = 24,943,227,323.06/102,249.50
  6. Step 6: Final answer
    x = 243,944.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.