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Finding the Third Proportional to 64,675.13 and 96,615.56

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Solution

The third proportional to 64,675.13 and 96,615.56 is: 144,330.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,675.13 : 96,615.56 = 96,615.56 : x
  2. Step 2: Convert to fraction form
    64,675.13/96,615.56 = 96,615.56/x
  3. Step 3: Cross multiply
    64,675.13x = 96,615.56 × 96,615.56
  4. Step 4: Simplify right side
    64,675.13x = 9,334,566,917.19
  5. Step 5: Solve for x
    x = 9,334,566,917.19/64,675.13
  6. Step 6: Final answer
    x = 144,330.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.