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Finding the Third Proportional to 93,447 and 144,936

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Solution

The third proportional to 93,447 and 144,936 is: 224,795.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,447 : 144,936 = 144,936 : x
  2. Step 2: Convert to fraction form
    93,447/144,936 = 144,936/x
  3. Step 3: Cross multiply
    93,447x = 144,936 × 144,936
  4. Step 4: Simplify right side
    93,447x = 21,006,444,096
  5. Step 5: Solve for x
    x = 21,006,444,096/93,447
  6. Step 6: Final answer
    x = 224,795.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.