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Finding the Third Proportional to 98,495 and 144,249

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Solution

The third proportional to 98,495 and 144,249 is: 211,257.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,495 : 144,249 = 144,249 : x
  2. Step 2: Convert to fraction form
    98,495/144,249 = 144,249/x
  3. Step 3: Cross multiply
    98,495x = 144,249 × 144,249
  4. Step 4: Simplify right side
    98,495x = 20,807,774,001
  5. Step 5: Solve for x
    x = 20,807,774,001/98,495
  6. Step 6: Final answer
    x = 211,257.16

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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.