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Finding the Third Proportional to 64,959 and 146,720.63

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Solution

The third proportional to 64,959 and 146,720.63 is: 331,392.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,959 : 146,720.63 = 146,720.63 : x
  2. Step 2: Convert to fraction form
    64,959/146,720.63 = 146,720.63/x
  3. Step 3: Cross multiply
    64,959x = 146,720.63 × 146,720.63
  4. Step 4: Simplify right side
    64,959x = 21,526,941,800.39
  5. Step 5: Solve for x
    x = 21,526,941,800.39/64,959
  6. Step 6: Final answer
    x = 331,392.75

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.