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Finding the Third Proportional to 66,448 and 114,648

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Solution

The third proportional to 66,448 and 114,648 is: 197,811.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,448 : 114,648 = 114,648 : x
  2. Step 2: Convert to fraction form
    66,448/114,648 = 114,648/x
  3. Step 3: Cross multiply
    66,448x = 114,648 × 114,648
  4. Step 4: Simplify right side
    66,448x = 13,144,163,904
  5. Step 5: Solve for x
    x = 13,144,163,904/66,448
  6. Step 6: Final answer
    x = 197,811.28

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.