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Finding the Third Proportional to 61,746 and 133,086

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Solution

The third proportional to 61,746 and 133,086 is: 286,850.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,746 : 133,086 = 133,086 : x
  2. Step 2: Convert to fraction form
    61,746/133,086 = 133,086/x
  3. Step 3: Cross multiply
    61,746x = 133,086 × 133,086
  4. Step 4: Simplify right side
    61,746x = 17,711,883,396
  5. Step 5: Solve for x
    x = 17,711,883,396/61,746
  6. Step 6: Final answer
    x = 286,850.70

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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.