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Finding the Third Proportional to 95,575 and 151,838

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Solution

The third proportional to 95,575 and 151,838 is: 241,221.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,575 : 151,838 = 151,838 : x
  2. Step 2: Convert to fraction form
    95,575/151,838 = 151,838/x
  3. Step 3: Cross multiply
    95,575x = 151,838 × 151,838
  4. Step 4: Simplify right side
    95,575x = 23,054,778,244
  5. Step 5: Solve for x
    x = 23,054,778,244/95,575
  6. Step 6: Final answer
    x = 241,221.85

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.