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Finding the Third Proportional to 106,313.50 and 171,297

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Solution

The third proportional to 106,313.50 and 171,297 is: 276,001.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,313.50 : 171,297 = 171,297 : x
  2. Step 2: Convert to fraction form
    106,313.50/171,297 = 171,297/x
  3. Step 3: Cross multiply
    106,313.50x = 171,297 × 171,297
  4. Step 4: Simplify right side
    106,313.50x = 29,342,662,209
  5. Step 5: Solve for x
    x = 29,342,662,209/106,313.50
  6. Step 6: Final answer
    x = 276,001.28

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.