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Finding the Third Proportional to 64,908 and 141,831

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Solution

The third proportional to 64,908 and 141,831 is: 309,916.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,908 : 141,831 = 141,831 : x
  2. Step 2: Convert to fraction form
    64,908/141,831 = 141,831/x
  3. Step 3: Cross multiply
    64,908x = 141,831 × 141,831
  4. Step 4: Simplify right side
    64,908x = 20,116,032,561
  5. Step 5: Solve for x
    x = 20,116,032,561/64,908
  6. Step 6: Final answer
    x = 309,916.07

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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.