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Finding the Third Proportional to 64,774 and 141,554

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Solution

The third proportional to 64,774 and 141,554 is: 309,345.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,774 : 141,554 = 141,554 : x
  2. Step 2: Convert to fraction form
    64,774/141,554 = 141,554/x
  3. Step 3: Cross multiply
    64,774x = 141,554 × 141,554
  4. Step 4: Simplify right side
    64,774x = 20,037,534,916
  5. Step 5: Solve for x
    x = 20,037,534,916/64,774
  6. Step 6: Final answer
    x = 309,345.34

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.