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Finding the Third Proportional to 58,906 and 89,216.50

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Solution

The third proportional to 58,906 and 89,216.50 is: 135,123.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,906 : 89,216.50 = 89,216.50 : x
  2. Step 2: Convert to fraction form
    58,906/89,216.50 = 89,216.50/x
  3. Step 3: Cross multiply
    58,906x = 89,216.50 × 89,216.50
  4. Step 4: Simplify right side
    58,906x = 7,959,583,872.25
  5. Step 5: Solve for x
    x = 7,959,583,872.25/58,906
  6. Step 6: Final answer
    x = 135,123.48

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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.