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Finding the Third Proportional to 64,881 and 139,461.75

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Solution

The third proportional to 64,881 and 139,461.75 is: 299,773.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,881 : 139,461.75 = 139,461.75 : x
  2. Step 2: Convert to fraction form
    64,881/139,461.75 = 139,461.75/x
  3. Step 3: Cross multiply
    64,881x = 139,461.75 × 139,461.75
  4. Step 4: Simplify right side
    64,881x = 19,449,579,713.06
  5. Step 5: Solve for x
    x = 19,449,579,713.06/64,881
  6. Step 6: Final answer
    x = 299,773.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.