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Finding the Third Proportional to 102,694.50 and 157,781.25

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Solution

The third proportional to 102,694.50 and 157,781.25 is: 242,417.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,694.50 : 157,781.25 = 157,781.25 : x
  2. Step 2: Convert to fraction form
    102,694.50/157,781.25 = 157,781.25/x
  3. Step 3: Cross multiply
    102,694.50x = 157,781.25 × 157,781.25
  4. Step 4: Simplify right side
    102,694.50x = 24,894,922,851.56
  5. Step 5: Solve for x
    x = 24,894,922,851.56/102,694.50
  6. Step 6: Final answer
    x = 242,417.29

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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.