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Finding the Third Proportional to 66,752 and 145,816

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Solution

The third proportional to 66,752 and 145,816 is: 318,526.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,752 : 145,816 = 145,816 : x
  2. Step 2: Convert to fraction form
    66,752/145,816 = 145,816/x
  3. Step 3: Cross multiply
    66,752x = 145,816 × 145,816
  4. Step 4: Simplify right side
    66,752x = 21,262,305,856
  5. Step 5: Solve for x
    x = 21,262,305,856/66,752
  6. Step 6: Final answer
    x = 318,526.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.