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Finding the Third Proportional to 66,145.36 and 96,444.42

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Solution

The third proportional to 66,145.36 and 96,444.42 is: 140,622.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,145.36 : 96,444.42 = 96,444.42 : x
  2. Step 2: Convert to fraction form
    66,145.36/96,444.42 = 96,444.42/x
  3. Step 3: Cross multiply
    66,145.36x = 96,444.42 × 96,444.42
  4. Step 4: Simplify right side
    66,145.36x = 9,301,526,510.80
  5. Step 5: Solve for x
    x = 9,301,526,510.80/66,145.36
  6. Step 6: Final answer
    x = 140,622.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.