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Finding the Third Proportional to 61,383 and 94,788

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Solution

The third proportional to 61,383 and 94,788 is: 146,372.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,383 : 94,788 = 94,788 : x
  2. Step 2: Convert to fraction form
    61,383/94,788 = 94,788/x
  3. Step 3: Cross multiply
    61,383x = 94,788 × 94,788
  4. Step 4: Simplify right side
    61,383x = 8,984,764,944
  5. Step 5: Solve for x
    x = 8,984,764,944/61,383
  6. Step 6: Final answer
    x = 146,372.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.