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Finding the Third Proportional to 98,726 and 149,787

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Solution

The third proportional to 98,726 and 149,787 is: 227,256.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,726 : 149,787 = 149,787 : x
  2. Step 2: Convert to fraction form
    98,726/149,787 = 149,787/x
  3. Step 3: Cross multiply
    98,726x = 149,787 × 149,787
  4. Step 4: Simplify right side
    98,726x = 22,436,145,369
  5. Step 5: Solve for x
    x = 22,436,145,369/98,726
  6. Step 6: Final answer
    x = 227,256.70

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.