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Finding the Third Proportional to 109,624 and 164,437

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Solution

The third proportional to 109,624 and 164,437 is: 246,657.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,624 : 164,437 = 164,437 : x
  2. Step 2: Convert to fraction form
    109,624/164,437 = 164,437/x
  3. Step 3: Cross multiply
    109,624x = 164,437 × 164,437
  4. Step 4: Simplify right side
    109,624x = 27,039,526,969
  5. Step 5: Solve for x
    x = 27,039,526,969/109,624
  6. Step 6: Final answer
    x = 246,657.00

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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.