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Finding the Third Proportional to 73,155 and 109,696.50

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Solution

The third proportional to 73,155 and 109,696.50 is: 164,490.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,155 : 109,696.50 = 109,696.50 : x
  2. Step 2: Convert to fraction form
    73,155/109,696.50 = 109,696.50/x
  3. Step 3: Cross multiply
    73,155x = 109,696.50 × 109,696.50
  4. Step 4: Simplify right side
    73,155x = 12,033,322,112.25
  5. Step 5: Solve for x
    x = 12,033,322,112.25/73,155
  6. Step 6: Final answer
    x = 164,490.77

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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.