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Finding the Third Proportional to 98,658 and 149,232.38

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Solution

The third proportional to 98,658 and 149,232.38 is: 225,732.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,658 : 149,232.38 = 149,232.38 : x
  2. Step 2: Convert to fraction form
    98,658/149,232.38 = 149,232.38/x
  3. Step 3: Cross multiply
    98,658x = 149,232.38 × 149,232.38
  4. Step 4: Simplify right side
    98,658x = 22,270,301,748.14
  5. Step 5: Solve for x
    x = 22,270,301,748.14/98,658
  6. Step 6: Final answer
    x = 225,732.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.