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Finding the Third Proportional to 106,364.25 and 157,446

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Solution

The third proportional to 106,364.25 and 157,446 is: 233,059.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,364.25 : 157,446 = 157,446 : x
  2. Step 2: Convert to fraction form
    106,364.25/157,446 = 157,446/x
  3. Step 3: Cross multiply
    106,364.25x = 157,446 × 157,446
  4. Step 4: Simplify right side
    106,364.25x = 24,789,242,916
  5. Step 5: Solve for x
    x = 24,789,242,916/106,364.25
  6. Step 6: Final answer
    x = 233,059.91

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.