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Finding the Third Proportional to 109,291 and 164,037.50

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Solution

The third proportional to 109,291 and 164,037.50 is: 246,207.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,291 : 164,037.50 = 164,037.50 : x
  2. Step 2: Convert to fraction form
    109,291/164,037.50 = 164,037.50/x
  3. Step 3: Cross multiply
    109,291x = 164,037.50 × 164,037.50
  4. Step 4: Simplify right side
    109,291x = 26,908,301,406.25
  5. Step 5: Solve for x
    x = 26,908,301,406.25/109,291
  6. Step 6: Final answer
    x = 246,207.84

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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.