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Finding the Third Proportional to 45,143 and 97,223

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Solution

The third proportional to 45,143 and 97,223 is: 209,385.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,143 : 97,223 = 97,223 : x
  2. Step 2: Convert to fraction form
    45,143/97,223 = 97,223/x
  3. Step 3: Cross multiply
    45,143x = 97,223 × 97,223
  4. Step 4: Simplify right side
    45,143x = 9,452,311,729
  5. Step 5: Solve for x
    x = 9,452,311,729/45,143
  6. Step 6: Final answer
    x = 209,385.99

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.