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Finding the Third Proportional to 110,175 and 160,078.50

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Solution

The third proportional to 110,175 and 160,078.50 is: 232,585.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,175 : 160,078.50 = 160,078.50 : x
  2. Step 2: Convert to fraction form
    110,175/160,078.50 = 160,078.50/x
  3. Step 3: Cross multiply
    110,175x = 160,078.50 × 160,078.50
  4. Step 4: Simplify right side
    110,175x = 25,625,126,162.25
  5. Step 5: Solve for x
    x = 25,625,126,162.25/110,175
  6. Step 6: Final answer
    x = 232,585.67

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.