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Finding the Third Proportional to 64,167.19 and 96,283.69

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Solution

The third proportional to 64,167.19 and 96,283.69 is: 144,474.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,167.19 : 96,283.69 = 96,283.69 : x
  2. Step 2: Convert to fraction form
    64,167.19/96,283.69 = 96,283.69/x
  3. Step 3: Cross multiply
    64,167.19x = 96,283.69 × 96,283.69
  4. Step 4: Simplify right side
    64,167.19x = 9,270,548,478.60
  5. Step 5: Solve for x
    x = 9,270,548,478.60/64,167.19
  6. Step 6: Final answer
    x = 144,474.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.