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Finding the Third Proportional to 98,579.25 and 144,362.25

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Solution

The third proportional to 98,579.25 and 144,362.25 is: 211,408.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,579.25 : 144,362.25 = 144,362.25 : x
  2. Step 2: Convert to fraction form
    98,579.25/144,362.25 = 144,362.25/x
  3. Step 3: Cross multiply
    98,579.25x = 144,362.25 × 144,362.25
  4. Step 4: Simplify right side
    98,579.25x = 20,840,459,225.06
  5. Step 5: Solve for x
    x = 20,840,459,225.06/98,579.25
  6. Step 6: Final answer
    x = 211,408.17

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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.