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Finding the Third Proportional to 58,920 and 89,236

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Solution

The third proportional to 58,920 and 89,236 is: 135,150.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,920 : 89,236 = 89,236 : x
  2. Step 2: Convert to fraction form
    58,920/89,236 = 89,236/x
  3. Step 3: Cross multiply
    58,920x = 89,236 × 89,236
  4. Step 4: Simplify right side
    58,920x = 7,963,063,696
  5. Step 5: Solve for x
    x = 7,963,063,696/58,920
  6. Step 6: Final answer
    x = 135,150.44

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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.