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Finding the Third Proportional to 102,341 and 157,885

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Solution

The third proportional to 102,341 and 157,885 is: 243,574.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,341 : 157,885 = 157,885 : x
  2. Step 2: Convert to fraction form
    102,341/157,885 = 157,885/x
  3. Step 3: Cross multiply
    102,341x = 157,885 × 157,885
  4. Step 4: Simplify right side
    102,341x = 24,927,673,225
  5. Step 5: Solve for x
    x = 24,927,673,225/102,341
  6. Step 6: Final answer
    x = 243,574.65

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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.