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Finding the Third Proportional to 66,493.50 and 99,807

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Solution

The third proportional to 66,493.50 and 99,807 is: 149,810.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,493.50 : 99,807 = 99,807 : x
  2. Step 2: Convert to fraction form
    66,493.50/99,807 = 99,807/x
  3. Step 3: Cross multiply
    66,493.50x = 99,807 × 99,807
  4. Step 4: Simplify right side
    66,493.50x = 9,961,437,249
  5. Step 5: Solve for x
    x = 9,961,437,249/66,493.50
  6. Step 6: Final answer
    x = 149,810.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.