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Finding the Third Proportional to 104,229 and 161,488.50

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Solution

The third proportional to 104,229 and 161,488.50 is: 250,204.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,229 : 161,488.50 = 161,488.50 : x
  2. Step 2: Convert to fraction form
    104,229/161,488.50 = 161,488.50/x
  3. Step 3: Cross multiply
    104,229x = 161,488.50 × 161,488.50
  4. Step 4: Simplify right side
    104,229x = 26,078,535,632.25
  5. Step 5: Solve for x
    x = 26,078,535,632.25/104,229
  6. Step 6: Final answer
    x = 250,204.22

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.