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Finding the Third Proportional to 102,314 and 157,845

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Solution

The third proportional to 102,314 and 157,845 is: 243,515.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,314 : 157,845 = 157,845 : x
  2. Step 2: Convert to fraction form
    102,314/157,845 = 157,845/x
  3. Step 3: Cross multiply
    102,314x = 157,845 × 157,845
  4. Step 4: Simplify right side
    102,314x = 24,915,044,025
  5. Step 5: Solve for x
    x = 24,915,044,025/102,314
  6. Step 6: Final answer
    x = 243,515.49

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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.