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Finding the Third Proportional to 96,577 and 149,235.50

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Solution

The third proportional to 96,577 and 149,235.50 is: 230,605.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,577 : 149,235.50 = 149,235.50 : x
  2. Step 2: Convert to fraction form
    96,577/149,235.50 = 149,235.50/x
  3. Step 3: Cross multiply
    96,577x = 149,235.50 × 149,235.50
  4. Step 4: Simplify right side
    96,577x = 22,271,234,460.25
  5. Step 5: Solve for x
    x = 22,271,234,460.25/96,577
  6. Step 6: Final answer
    x = 230,605.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.