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Finding the Third Proportional to 58,216 and 89,016

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Solution

The third proportional to 58,216 and 89,016 is: 136,111.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,216 : 89,016 = 89,016 : x
  2. Step 2: Convert to fraction form
    58,216/89,016 = 89,016/x
  3. Step 3: Cross multiply
    58,216x = 89,016 × 89,016
  4. Step 4: Simplify right side
    58,216x = 7,923,848,256
  5. Step 5: Solve for x
    x = 7,923,848,256/58,216
  6. Step 6: Final answer
    x = 136,111.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.