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Finding the Third Proportional to 66,895.24 and 99,823.64

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Solution

The third proportional to 66,895.24 and 99,823.64 is: 148,960.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,895.24 : 99,823.64 = 99,823.64 : x
  2. Step 2: Convert to fraction form
    66,895.24/99,823.64 = 99,823.64/x
  3. Step 3: Cross multiply
    66,895.24x = 99,823.64 × 99,823.64
  4. Step 4: Simplify right side
    66,895.24x = 9,964,759,227.63
  5. Step 5: Solve for x
    x = 9,964,759,227.63/66,895.24
  6. Step 6: Final answer
    x = 148,960.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.