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Finding the Third Proportional to 58,116 and 89,802

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Solution

The third proportional to 58,116 and 89,802 is: 138,763.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,116 : 89,802 = 89,802 : x
  2. Step 2: Convert to fraction form
    58,116/89,802 = 89,802/x
  3. Step 3: Cross multiply
    58,116x = 89,802 × 89,802
  4. Step 4: Simplify right side
    58,116x = 8,064,399,204
  5. Step 5: Solve for x
    x = 8,064,399,204/58,116
  6. Step 6: Final answer
    x = 138,763.84

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.