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Finding the Third Proportional to 66,106.88 and 96,391.13

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Solution

The third proportional to 66,106.88 and 96,391.13 is: 140,548.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,106.88 : 96,391.13 = 96,391.13 : x
  2. Step 2: Convert to fraction form
    66,106.88/96,391.13 = 96,391.13/x
  3. Step 3: Cross multiply
    66,106.88x = 96,391.13 × 96,391.13
  4. Step 4: Simplify right side
    66,106.88x = 9,291,248,978.77
  5. Step 5: Solve for x
    x = 9,291,248,978.77/66,106.88
  6. Step 6: Final answer
    x = 140,548.91

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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.