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Finding the Third Proportional to 110,158.88 and 148,630.50

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Solution

The third proportional to 110,158.88 and 148,630.50 is: 200,537.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,158.88 : 148,630.50 = 148,630.50 : x
  2. Step 2: Convert to fraction form
    110,158.88/148,630.50 = 148,630.50/x
  3. Step 3: Cross multiply
    110,158.88x = 148,630.50 × 148,630.50
  4. Step 4: Simplify right side
    110,158.88x = 22,091,025,530.25
  5. Step 5: Solve for x
    x = 22,091,025,530.25/110,158.88
  6. Step 6: Final answer
    x = 200,537.86

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.