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Finding the Third Proportional to 64,837.13 and 140,332.50

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Solution

The third proportional to 64,837.13 and 140,332.50 is: 303,733.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,837.13 : 140,332.50 = 140,332.50 : x
  2. Step 2: Convert to fraction form
    64,837.13/140,332.50 = 140,332.50/x
  3. Step 3: Cross multiply
    64,837.13x = 140,332.50 × 140,332.50
  4. Step 4: Simplify right side
    64,837.13x = 19,693,210,556.25
  5. Step 5: Solve for x
    x = 19,693,210,556.25/64,837.13
  6. Step 6: Final answer
    x = 303,733.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.