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Finding the Third Proportional to 59,904 and 141,360

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Solution

The third proportional to 59,904 and 141,360 is: 333,577.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,904 : 141,360 = 141,360 : x
  2. Step 2: Convert to fraction form
    59,904/141,360 = 141,360/x
  3. Step 3: Cross multiply
    59,904x = 141,360 × 141,360
  4. Step 4: Simplify right side
    59,904x = 19,982,649,600
  5. Step 5: Solve for x
    x = 19,982,649,600/59,904
  6. Step 6: Final answer
    x = 333,577.88

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.