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Finding the Third Proportional to 58,157 and 87,233

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Solution

The third proportional to 58,157 and 87,233 is: 130,845.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,157 : 87,233 = 87,233 : x
  2. Step 2: Convert to fraction form
    58,157/87,233 = 87,233/x
  3. Step 3: Cross multiply
    58,157x = 87,233 × 87,233
  4. Step 4: Simplify right side
    58,157x = 7,609,596,289
  5. Step 5: Solve for x
    x = 7,609,596,289/58,157
  6. Step 6: Final answer
    x = 130,845.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.