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Finding the Third Proportional to 98,013 and 146,627.75

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Solution

The third proportional to 98,013 and 146,627.75 is: 219,355.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,013 : 146,627.75 = 146,627.75 : x
  2. Step 2: Convert to fraction form
    98,013/146,627.75 = 146,627.75/x
  3. Step 3: Cross multiply
    98,013x = 146,627.75 × 146,627.75
  4. Step 4: Simplify right side
    98,013x = 21,499,697,070.06
  5. Step 5: Solve for x
    x = 21,499,697,070.06/98,013
  6. Step 6: Final answer
    x = 219,355.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.