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Finding the Third Proportional to 136,091 and 291,856

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Solution

The third proportional to 136,091 and 291,856 is: 625,904.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,091 : 291,856 = 291,856 : x
  2. Step 2: Convert to fraction form
    136,091/291,856 = 291,856/x
  3. Step 3: Cross multiply
    136,091x = 291,856 × 291,856
  4. Step 4: Simplify right side
    136,091x = 85,179,924,736
  5. Step 5: Solve for x
    x = 85,179,924,736/136,091
  6. Step 6: Final answer
    x = 625,904.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.