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Finding the Third Proportional to 64,953 and 139,575.75

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Solution

The third proportional to 64,953 and 139,575.75 is: 299,930.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,953 : 139,575.75 = 139,575.75 : x
  2. Step 2: Convert to fraction form
    64,953/139,575.75 = 139,575.75/x
  3. Step 3: Cross multiply
    64,953x = 139,575.75 × 139,575.75
  4. Step 4: Simplify right side
    64,953x = 19,481,389,988.06
  5. Step 5: Solve for x
    x = 19,481,389,988.06/64,953
  6. Step 6: Final answer
    x = 299,930.56

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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.