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Finding the Third Proportional to 101,942 and 157,470

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Solution

The third proportional to 101,942 and 157,470 is: 243,244.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,942 : 157,470 = 157,470 : x
  2. Step 2: Convert to fraction form
    101,942/157,470 = 157,470/x
  3. Step 3: Cross multiply
    101,942x = 157,470 × 157,470
  4. Step 4: Simplify right side
    101,942x = 24,796,800,900
  5. Step 5: Solve for x
    x = 24,796,800,900/101,942
  6. Step 6: Final answer
    x = 243,244.21

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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.