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Finding the Third Proportional to 61,970 and 134,144

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Solution

The third proportional to 61,970 and 134,144 is: 290,376.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,970 : 134,144 = 134,144 : x
  2. Step 2: Convert to fraction form
    61,970/134,144 = 134,144/x
  3. Step 3: Cross multiply
    61,970x = 134,144 × 134,144
  4. Step 4: Simplify right side
    61,970x = 17,994,612,736
  5. Step 5: Solve for x
    x = 17,994,612,736/61,970
  6. Step 6: Final answer
    x = 290,376.19

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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.