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Finding the Third Proportional to 106,400 and 157,546

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Solution

The third proportional to 106,400 and 157,546 is: 233,277.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,400 : 157,546 = 157,546 : x
  2. Step 2: Convert to fraction form
    106,400/157,546 = 157,546/x
  3. Step 3: Cross multiply
    106,400x = 157,546 × 157,546
  4. Step 4: Simplify right side
    106,400x = 24,820,742,116
  5. Step 5: Solve for x
    x = 24,820,742,116/106,400
  6. Step 6: Final answer
    x = 233,277.65

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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.