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Finding the Third Proportional to 100,372 and 151,409

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Solution

The third proportional to 100,372 and 151,409 is: 228,397.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,372 : 151,409 = 151,409 : x
  2. Step 2: Convert to fraction form
    100,372/151,409 = 151,409/x
  3. Step 3: Cross multiply
    100,372x = 151,409 × 151,409
  4. Step 4: Simplify right side
    100,372x = 22,924,685,281
  5. Step 5: Solve for x
    x = 22,924,685,281/100,372
  6. Step 6: Final answer
    x = 228,397.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.