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Finding the Third Proportional to 98,624.25 and 139,551.19

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Solution

The third proportional to 98,624.25 and 139,551.19 is: 197,461.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,624.25 : 139,551.19 = 139,551.19 : x
  2. Step 2: Convert to fraction form
    98,624.25/139,551.19 = 139,551.19/x
  3. Step 3: Cross multiply
    98,624.25x = 139,551.19 × 139,551.19
  4. Step 4: Simplify right side
    98,624.25x = 19,474,533,932.66
  5. Step 5: Solve for x
    x = 19,474,533,932.66/98,624.25
  6. Step 6: Final answer
    x = 197,461.92

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.