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Finding the Third Proportional to 126,024 and 191,664

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Solution

The third proportional to 126,024 and 191,664 is: 291,492.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,024 : 191,664 = 191,664 : x
  2. Step 2: Convert to fraction form
    126,024/191,664 = 191,664/x
  3. Step 3: Cross multiply
    126,024x = 191,664 × 191,664
  4. Step 4: Simplify right side
    126,024x = 36,735,088,896
  5. Step 5: Solve for x
    x = 36,735,088,896/126,024
  6. Step 6: Final answer
    x = 291,492.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.