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Finding the Third Proportional to 109,441.13 and 162,703.69

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Solution

The third proportional to 109,441.13 and 162,703.69 is: 241,887.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,441.13 : 162,703.69 = 162,703.69 : x
  2. Step 2: Convert to fraction form
    109,441.13/162,703.69 = 162,703.69/x
  3. Step 3: Cross multiply
    109,441.13x = 162,703.69 × 162,703.69
  4. Step 4: Simplify right side
    109,441.13x = 26,472,489,926.10
  5. Step 5: Solve for x
    x = 26,472,489,926.10/109,441.13
  6. Step 6: Final answer
    x = 241,887.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.