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Finding the Third Proportional to 58,071 and 86,881

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Solution

The third proportional to 58,071 and 86,881 is: 129,984.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,071 : 86,881 = 86,881 : x
  2. Step 2: Convert to fraction form
    58,071/86,881 = 86,881/x
  3. Step 3: Cross multiply
    58,071x = 86,881 × 86,881
  4. Step 4: Simplify right side
    58,071x = 7,548,308,161
  5. Step 5: Solve for x
    x = 7,548,308,161/58,071
  6. Step 6: Final answer
    x = 129,984.13

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Why These Related Problems?

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