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Finding the Third Proportional to 75,737.25 and 164,011.50

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Solution

The third proportional to 75,737.25 and 164,011.50 is: 355,172.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,737.25 : 164,011.50 = 164,011.50 : x
  2. Step 2: Convert to fraction form
    75,737.25/164,011.50 = 164,011.50/x
  3. Step 3: Cross multiply
    75,737.25x = 164,011.50 × 164,011.50
  4. Step 4: Simplify right side
    75,737.25x = 26,899,772,132.25
  5. Step 5: Solve for x
    x = 26,899,772,132.25/75,737.25
  6. Step 6: Final answer
    x = 355,172.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.