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Finding the Third Proportional to 73,156.50 and 106,947

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Solution

The third proportional to 73,156.50 and 106,947 is: 156,345.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,156.50 : 106,947 = 106,947 : x
  2. Step 2: Convert to fraction form
    73,156.50/106,947 = 106,947/x
  3. Step 3: Cross multiply
    73,156.50x = 106,947 × 106,947
  4. Step 4: Simplify right side
    73,156.50x = 11,437,660,809
  5. Step 5: Solve for x
    x = 11,437,660,809/73,156.50
  6. Step 6: Final answer
    x = 156,345.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.