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Finding the Third Proportional to 102,313 and 157,843

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Solution

The third proportional to 102,313 and 157,843 is: 243,511.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,313 : 157,843 = 157,843 : x
  2. Step 2: Convert to fraction form
    102,313/157,843 = 157,843/x
  3. Step 3: Cross multiply
    102,313x = 157,843 × 157,843
  4. Step 4: Simplify right side
    102,313x = 24,914,412,649
  5. Step 5: Solve for x
    x = 24,914,412,649/102,313
  6. Step 6: Final answer
    x = 243,511.70

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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.