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Finding the Third Proportional to 98,015 and 144,151

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Solution

The third proportional to 98,015 and 144,151 is: 212,003.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,015 : 144,151 = 144,151 : x
  2. Step 2: Convert to fraction form
    98,015/144,151 = 144,151/x
  3. Step 3: Cross multiply
    98,015x = 144,151 × 144,151
  4. Step 4: Simplify right side
    98,015x = 20,779,510,801
  5. Step 5: Solve for x
    x = 20,779,510,801/98,015
  6. Step 6: Final answer
    x = 212,003.38

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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.