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Finding the Third Proportional to 52,706 and 114,160

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Solution

The third proportional to 52,706 and 114,160 is: 247,267.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,706 : 114,160 = 114,160 : x
  2. Step 2: Convert to fraction form
    52,706/114,160 = 114,160/x
  3. Step 3: Cross multiply
    52,706x = 114,160 × 114,160
  4. Step 4: Simplify right side
    52,706x = 13,032,505,600
  5. Step 5: Solve for x
    x = 13,032,505,600/52,706
  6. Step 6: Final answer
    x = 247,267.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.