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Finding the Third Proportional to 70,657.88 and 153,586.69

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Solution

The third proportional to 70,657.88 and 153,586.69 is: 333,846.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,657.88 : 153,586.69 = 153,586.69 : x
  2. Step 2: Convert to fraction form
    70,657.88/153,586.69 = 153,586.69/x
  3. Step 3: Cross multiply
    70,657.88x = 153,586.69 × 153,586.69
  4. Step 4: Simplify right side
    70,657.88x = 23,588,870,577.22
  5. Step 5: Solve for x
    x = 23,588,870,577.22/70,657.88
  6. Step 6: Final answer
    x = 333,846.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.