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Finding the Third Proportional to 52,165 and 112,430

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Solution

The third proportional to 52,165 and 112,430 is: 242,317.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,165 : 112,430 = 112,430 : x
  2. Step 2: Convert to fraction form
    52,165/112,430 = 112,430/x
  3. Step 3: Cross multiply
    52,165x = 112,430 × 112,430
  4. Step 4: Simplify right side
    52,165x = 12,640,504,900
  5. Step 5: Solve for x
    x = 12,640,504,900/52,165
  6. Step 6: Final answer
    x = 242,317.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.