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Finding the Third Proportional to 162,136.13 and 259,011

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Solution

The third proportional to 162,136.13 and 259,011 is: 413,767.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,136.13 : 259,011 = 259,011 : x
  2. Step 2: Convert to fraction form
    162,136.13/259,011 = 259,011/x
  3. Step 3: Cross multiply
    162,136.13x = 259,011 × 259,011
  4. Step 4: Simplify right side
    162,136.13x = 67,086,698,121
  5. Step 5: Solve for x
    x = 67,086,698,121/162,136.13
  6. Step 6: Final answer
    x = 413,767.74

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.