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Finding the Third Proportional to 58,489 and 94,189

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Solution

The third proportional to 58,489 and 94,189 is: 151,679.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,489 : 94,189 = 94,189 : x
  2. Step 2: Convert to fraction form
    58,489/94,189 = 94,189/x
  3. Step 3: Cross multiply
    58,489x = 94,189 × 94,189
  4. Step 4: Simplify right side
    58,489x = 8,871,567,721
  5. Step 5: Solve for x
    x = 8,871,567,721/58,489
  6. Step 6: Final answer
    x = 151,679.25

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.