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Finding the Third Proportional to 98,705.25 and 144,372.38

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Solution

The third proportional to 98,705.25 and 144,372.38 is: 211,167.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,705.25 : 144,372.38 = 144,372.38 : x
  2. Step 2: Convert to fraction form
    98,705.25/144,372.38 = 144,372.38/x
  3. Step 3: Cross multiply
    98,705.25x = 144,372.38 × 144,372.38
  4. Step 4: Simplify right side
    98,705.25x = 20,843,382,663.14
  5. Step 5: Solve for x
    x = 20,843,382,663.14/98,705.25
  6. Step 6: Final answer
    x = 211,167.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.