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Finding the Third Proportional to 64,176 and 140,752

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Solution

The third proportional to 64,176 and 140,752 is: 308,699.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,176 : 140,752 = 140,752 : x
  2. Step 2: Convert to fraction form
    64,176/140,752 = 140,752/x
  3. Step 3: Cross multiply
    64,176x = 140,752 × 140,752
  4. Step 4: Simplify right side
    64,176x = 19,811,125,504
  5. Step 5: Solve for x
    x = 19,811,125,504/64,176
  6. Step 6: Final answer
    x = 308,699.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.