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Finding the Third Proportional to 58,504 and 89,943

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Solution

The third proportional to 58,504 and 89,943 is: 138,276.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,504 : 89,943 = 89,943 : x
  2. Step 2: Convert to fraction form
    58,504/89,943 = 89,943/x
  3. Step 3: Cross multiply
    58,504x = 89,943 × 89,943
  4. Step 4: Simplify right side
    58,504x = 8,089,743,249
  5. Step 5: Solve for x
    x = 8,089,743,249/58,504
  6. Step 6: Final answer
    x = 138,276.75

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.