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Finding the Third Proportional to 103,324 and 151,447

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Solution

The third proportional to 103,324 and 151,447 is: 221,983.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,324 : 151,447 = 151,447 : x
  2. Step 2: Convert to fraction form
    103,324/151,447 = 151,447/x
  3. Step 3: Cross multiply
    103,324x = 151,447 × 151,447
  4. Step 4: Simplify right side
    103,324x = 22,936,193,809
  5. Step 5: Solve for x
    x = 22,936,193,809/103,324
  6. Step 6: Final answer
    x = 221,983.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.