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Finding the Third Proportional to 66,106.69 and 96,390.84

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Solution

The third proportional to 66,106.69 and 96,390.84 is: 140,548.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,106.69 : 96,390.84 = 96,390.84 : x
  2. Step 2: Convert to fraction form
    66,106.69/96,390.84 = 96,390.84/x
  3. Step 3: Cross multiply
    66,106.69x = 96,390.84 × 96,390.84
  4. Step 4: Simplify right side
    66,106.69x = 9,291,194,758.84
  5. Step 5: Solve for x
    x = 9,291,194,758.84/66,106.69
  6. Step 6: Final answer
    x = 140,548.48

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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.