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Finding the Third Proportional to 72,011 and 170,145

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Solution

The third proportional to 72,011 and 170,145 is: 402,012.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,011 : 170,145 = 170,145 : x
  2. Step 2: Convert to fraction form
    72,011/170,145 = 170,145/x
  3. Step 3: Cross multiply
    72,011x = 170,145 × 170,145
  4. Step 4: Simplify right side
    72,011x = 28,949,321,025
  5. Step 5: Solve for x
    x = 28,949,321,025/72,011
  6. Step 6: Final answer
    x = 402,012.48

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.