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Finding the Third Proportional to 58,206 and 86,217

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Solution

The third proportional to 58,206 and 86,217 is: 127,707.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,206 : 86,217 = 86,217 : x
  2. Step 2: Convert to fraction form
    58,206/86,217 = 86,217/x
  3. Step 3: Cross multiply
    58,206x = 86,217 × 86,217
  4. Step 4: Simplify right side
    58,206x = 7,433,371,089
  5. Step 5: Solve for x
    x = 7,433,371,089/58,206
  6. Step 6: Final answer
    x = 127,707.99

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.