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Finding the Third Proportional to 64,995 and 141,099

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Solution

The third proportional to 64,995 and 141,099 is: 306,314.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,995 : 141,099 = 141,099 : x
  2. Step 2: Convert to fraction form
    64,995/141,099 = 141,099/x
  3. Step 3: Cross multiply
    64,995x = 141,099 × 141,099
  4. Step 4: Simplify right side
    64,995x = 19,908,927,801
  5. Step 5: Solve for x
    x = 19,908,927,801/64,995
  6. Step 6: Final answer
    x = 306,314.76

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.