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Finding the Third Proportional to 107,102.25 and 164,754

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Solution

The third proportional to 107,102.25 and 164,754 is: 253,438.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,102.25 : 164,754 = 164,754 : x
  2. Step 2: Convert to fraction form
    107,102.25/164,754 = 164,754/x
  3. Step 3: Cross multiply
    107,102.25x = 164,754 × 164,754
  4. Step 4: Simplify right side
    107,102.25x = 27,143,880,516
  5. Step 5: Solve for x
    x = 27,143,880,516/107,102.25
  6. Step 6: Final answer
    x = 253,438.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.