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Finding the Third Proportional to 93,062 and 144,297

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Solution

The third proportional to 93,062 and 144,297 is: 223,739.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,062 : 144,297 = 144,297 : x
  2. Step 2: Convert to fraction form
    93,062/144,297 = 144,297/x
  3. Step 3: Cross multiply
    93,062x = 144,297 × 144,297
  4. Step 4: Simplify right side
    93,062x = 20,821,624,209
  5. Step 5: Solve for x
    x = 20,821,624,209/93,062
  6. Step 6: Final answer
    x = 223,739.27

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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.