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Finding the Third Proportional to 61,468 and 94,933

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Solution

The third proportional to 61,468 and 94,933 is: 146,617.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,468 : 94,933 = 94,933 : x
  2. Step 2: Convert to fraction form
    61,468/94,933 = 94,933/x
  3. Step 3: Cross multiply
    61,468x = 94,933 × 94,933
  4. Step 4: Simplify right side
    61,468x = 9,012,274,489
  5. Step 5: Solve for x
    x = 9,012,274,489/61,468
  6. Step 6: Final answer
    x = 146,617.34

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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.