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Finding the Third Proportional to 109,567.50 and 164,351

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Solution

The third proportional to 109,567.50 and 164,351 is: 246,526.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,567.50 : 164,351 = 164,351 : x
  2. Step 2: Convert to fraction form
    109,567.50/164,351 = 164,351/x
  3. Step 3: Cross multiply
    109,567.50x = 164,351 × 164,351
  4. Step 4: Simplify right side
    109,567.50x = 27,011,251,201
  5. Step 5: Solve for x
    x = 27,011,251,201/109,567.50
  6. Step 6: Final answer
    x = 246,526.13

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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.