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Finding the Third Proportional to 73,145 and 109,237

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Solution

The third proportional to 73,145 and 109,237 is: 163,137.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,145 : 109,237 = 109,237 : x
  2. Step 2: Convert to fraction form
    73,145/109,237 = 109,237/x
  3. Step 3: Cross multiply
    73,145x = 109,237 × 109,237
  4. Step 4: Simplify right side
    73,145x = 11,932,722,169
  5. Step 5: Solve for x
    x = 11,932,722,169/73,145
  6. Step 6: Final answer
    x = 163,137.91

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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.