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Finding the Third Proportional to 58,144 and 87,008

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Solution

The third proportional to 58,144 and 87,008 is: 130,200.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,144 : 87,008 = 87,008 : x
  2. Step 2: Convert to fraction form
    58,144/87,008 = 87,008/x
  3. Step 3: Cross multiply
    58,144x = 87,008 × 87,008
  4. Step 4: Simplify right side
    58,144x = 7,570,392,064
  5. Step 5: Solve for x
    x = 7,570,392,064/58,144
  6. Step 6: Final answer
    x = 130,200.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.