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Finding the Third Proportional to 136,032 and 291,719

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Solution

The third proportional to 136,032 and 291,719 is: 625,587.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,032 : 291,719 = 291,719 : x
  2. Step 2: Convert to fraction form
    136,032/291,719 = 291,719/x
  3. Step 3: Cross multiply
    136,032x = 291,719 × 291,719
  4. Step 4: Simplify right side
    136,032x = 85,099,974,961
  5. Step 5: Solve for x
    x = 85,099,974,961/136,032
  6. Step 6: Final answer
    x = 625,587.91

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