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Finding the Third Proportional to 92,821 and 149,455.50

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Solution

The third proportional to 92,821 and 149,455.50 is: 240,645.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,821 : 149,455.50 = 149,455.50 : x
  2. Step 2: Convert to fraction form
    92,821/149,455.50 = 149,455.50/x
  3. Step 3: Cross multiply
    92,821x = 149,455.50 × 149,455.50
  4. Step 4: Simplify right side
    92,821x = 22,336,946,480.25
  5. Step 5: Solve for x
    x = 22,336,946,480.25/92,821
  6. Step 6: Final answer
    x = 240,645.40

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.