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Finding the Third Proportional to 66,106.63 and 96,390.75

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Solution

The third proportional to 66,106.63 and 96,390.75 is: 140,548.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,106.63 : 96,390.75 = 96,390.75 : x
  2. Step 2: Convert to fraction form
    66,106.63/96,390.75 = 96,390.75/x
  3. Step 3: Cross multiply
    66,106.63x = 96,390.75 × 96,390.75
  4. Step 4: Simplify right side
    66,106.63x = 9,291,176,685.56
  5. Step 5: Solve for x
    x = 9,291,176,685.56/66,106.63
  6. Step 6: Final answer
    x = 140,548.34

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