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Finding the Third Proportional to 71,502 and 106,875

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Solution

The third proportional to 71,502 and 106,875 is: 159,747.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,502 : 106,875 = 106,875 : x
  2. Step 2: Convert to fraction form
    71,502/106,875 = 106,875/x
  3. Step 3: Cross multiply
    71,502x = 106,875 × 106,875
  4. Step 4: Simplify right side
    71,502x = 11,422,265,625
  5. Step 5: Solve for x
    x = 11,422,265,625/71,502
  6. Step 6: Final answer
    x = 159,747.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.