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Finding the Third Proportional to 58,913 and 89,226

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Solution

The third proportional to 58,913 and 89,226 is: 135,136.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,913 : 89,226 = 89,226 : x
  2. Step 2: Convert to fraction form
    58,913/89,226 = 89,226/x
  3. Step 3: Cross multiply
    58,913x = 89,226 × 89,226
  4. Step 4: Simplify right side
    58,913x = 7,961,279,076
  5. Step 5: Solve for x
    x = 7,961,279,076/58,913
  6. Step 6: Final answer
    x = 135,136.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.