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Finding the Third Proportional to 52,690 and 114,127

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Solution

The third proportional to 52,690 and 114,127 is: 247,200.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,690 : 114,127 = 114,127 : x
  2. Step 2: Convert to fraction form
    52,690/114,127 = 114,127/x
  3. Step 3: Cross multiply
    52,690x = 114,127 × 114,127
  4. Step 4: Simplify right side
    52,690x = 13,024,972,129
  5. Step 5: Solve for x
    x = 13,024,972,129/52,690
  6. Step 6: Final answer
    x = 247,200.08

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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.