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Finding the Third Proportional to 64,929 and 141,774

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Solution

The third proportional to 64,929 and 141,774 is: 309,566.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,929 : 141,774 = 141,774 : x
  2. Step 2: Convert to fraction form
    64,929/141,774 = 141,774/x
  3. Step 3: Cross multiply
    64,929x = 141,774 × 141,774
  4. Step 4: Simplify right side
    64,929x = 20,099,867,076
  5. Step 5: Solve for x
    x = 20,099,867,076/64,929
  6. Step 6: Final answer
    x = 309,566.87

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.