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Finding the Third Proportional to 58,183 and 88,967

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Solution

The third proportional to 58,183 and 88,967 is: 136,038.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,183 : 88,967 = 88,967 : x
  2. Step 2: Convert to fraction form
    58,183/88,967 = 88,967/x
  3. Step 3: Cross multiply
    58,183x = 88,967 × 88,967
  4. Step 4: Simplify right side
    58,183x = 7,915,127,089
  5. Step 5: Solve for x
    x = 7,915,127,089/58,183
  6. Step 6: Final answer
    x = 136,038.48

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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.