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Finding the Third Proportional to 101,429 and 157,672

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Solution

The third proportional to 101,429 and 157,672 is: 245,102.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,429 : 157,672 = 157,672 : x
  2. Step 2: Convert to fraction form
    101,429/157,672 = 157,672/x
  3. Step 3: Cross multiply
    101,429x = 157,672 × 157,672
  4. Step 4: Simplify right side
    101,429x = 24,860,459,584
  5. Step 5: Solve for x
    x = 24,860,459,584/101,429
  6. Step 6: Final answer
    x = 245,102.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.