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Finding the Third Proportional to 98,044 and 146,334

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Solution

The third proportional to 98,044 and 146,334 is: 218,408.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,044 : 146,334 = 146,334 : x
  2. Step 2: Convert to fraction form
    98,044/146,334 = 146,334/x
  3. Step 3: Cross multiply
    98,044x = 146,334 × 146,334
  4. Step 4: Simplify right side
    98,044x = 21,413,639,556
  5. Step 5: Solve for x
    x = 21,413,639,556/98,044
  6. Step 6: Final answer
    x = 218,408.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.