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Finding the Third Proportional to 105,103.50 and 151,094.25

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Solution

The third proportional to 105,103.50 and 151,094.25 is: 217,209.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,103.50 : 151,094.25 = 151,094.25 : x
  2. Step 2: Convert to fraction form
    105,103.50/151,094.25 = 151,094.25/x
  3. Step 3: Cross multiply
    105,103.50x = 151,094.25 × 151,094.25
  4. Step 4: Simplify right side
    105,103.50x = 22,829,472,383.06
  5. Step 5: Solve for x
    x = 22,829,472,383.06/105,103.50
  6. Step 6: Final answer
    x = 217,209.44

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.