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Finding the Third Proportional to 102,216 and 157,008

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Solution

The third proportional to 102,216 and 157,008 is: 241,170.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,216 : 157,008 = 157,008 : x
  2. Step 2: Convert to fraction form
    102,216/157,008 = 157,008/x
  3. Step 3: Cross multiply
    102,216x = 157,008 × 157,008
  4. Step 4: Simplify right side
    102,216x = 24,651,512,064
  5. Step 5: Solve for x
    x = 24,651,512,064/102,216
  6. Step 6: Final answer
    x = 241,170.78

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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.