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Finding the Third Proportional to 58,065 and 86,871

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Solution

The third proportional to 58,065 and 86,871 is: 129,967.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,065 : 86,871 = 86,871 : x
  2. Step 2: Convert to fraction form
    58,065/86,871 = 86,871/x
  3. Step 3: Cross multiply
    58,065x = 86,871 × 86,871
  4. Step 4: Simplify right side
    58,065x = 7,546,570,641
  5. Step 5: Solve for x
    x = 7,546,570,641/58,065
  6. Step 6: Final answer
    x = 129,967.63

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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.