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Finding the Third Proportional to 66,504 and 102,216

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Solution

The third proportional to 66,504 and 102,216 is: 157,105.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,504 : 102,216 = 102,216 : x
  2. Step 2: Convert to fraction form
    66,504/102,216 = 102,216/x
  3. Step 3: Cross multiply
    66,504x = 102,216 × 102,216
  4. Step 4: Simplify right side
    66,504x = 10,448,110,656
  5. Step 5: Solve for x
    x = 10,448,110,656/66,504
  6. Step 6: Final answer
    x = 157,105.00

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.