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Finding the Third Proportional to 110,821.50 and 162,298.50

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Solution

The third proportional to 110,821.50 and 162,298.50 is: 237,686.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,821.50 : 162,298.50 = 162,298.50 : x
  2. Step 2: Convert to fraction form
    110,821.50/162,298.50 = 162,298.50/x
  3. Step 3: Cross multiply
    110,821.50x = 162,298.50 × 162,298.50
  4. Step 4: Simplify right side
    110,821.50x = 26,340,803,102.25
  5. Step 5: Solve for x
    x = 26,340,803,102.25/110,821.50
  6. Step 6: Final answer
    x = 237,686.76

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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.