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Finding the Third Proportional to 90,594 and 149,729

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Solution

The third proportional to 90,594 and 149,729 is: 247,464.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,594 : 149,729 = 149,729 : x
  2. Step 2: Convert to fraction form
    90,594/149,729 = 149,729/x
  3. Step 3: Cross multiply
    90,594x = 149,729 × 149,729
  4. Step 4: Simplify right side
    90,594x = 22,418,773,441
  5. Step 5: Solve for x
    x = 22,418,773,441/90,594
  6. Step 6: Final answer
    x = 247,464.22

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.