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Finding the Third Proportional to 98,652 and 144,682

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Solution

The third proportional to 98,652 and 144,682 is: 212,189.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,652 : 144,682 = 144,682 : x
  2. Step 2: Convert to fraction form
    98,652/144,682 = 144,682/x
  3. Step 3: Cross multiply
    98,652x = 144,682 × 144,682
  4. Step 4: Simplify right side
    98,652x = 20,932,881,124
  5. Step 5: Solve for x
    x = 20,932,881,124/98,652
  6. Step 6: Final answer
    x = 212,189.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.