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Finding the Third Proportional to 98,013.75 and 144,150

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Solution

The third proportional to 98,013.75 and 144,150 is: 212,003.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,013.75 : 144,150 = 144,150 : x
  2. Step 2: Convert to fraction form
    98,013.75/144,150 = 144,150/x
  3. Step 3: Cross multiply
    98,013.75x = 144,150 × 144,150
  4. Step 4: Simplify right side
    98,013.75x = 20,779,222,500
  5. Step 5: Solve for x
    x = 20,779,222,500/98,013.75
  6. Step 6: Final answer
    x = 212,003.14

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