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Finding the Third Proportional to 58,094 and 86,910

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Solution

The third proportional to 58,094 and 86,910 is: 130,019.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,094 : 86,910 = 86,910 : x
  2. Step 2: Convert to fraction form
    58,094/86,910 = 86,910/x
  3. Step 3: Cross multiply
    58,094x = 86,910 × 86,910
  4. Step 4: Simplify right side
    58,094x = 7,553,348,100
  5. Step 5: Solve for x
    x = 7,553,348,100/58,094
  6. Step 6: Final answer
    x = 130,019.42

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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.