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Finding the Third Proportional to 109,608 and 164,430

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Solution

The third proportional to 109,608 and 164,430 is: 246,672.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,608 : 164,430 = 164,430 : x
  2. Step 2: Convert to fraction form
    109,608/164,430 = 164,430/x
  3. Step 3: Cross multiply
    109,608x = 164,430 × 164,430
  4. Step 4: Simplify right side
    109,608x = 27,037,224,900
  5. Step 5: Solve for x
    x = 27,037,224,900/109,608
  6. Step 6: Final answer
    x = 246,672.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.