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Finding the Third Proportional to 58,462 and 91,115

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Solution

The third proportional to 58,462 and 91,115 is: 142,005.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,462 : 91,115 = 91,115 : x
  2. Step 2: Convert to fraction form
    58,462/91,115 = 91,115/x
  3. Step 3: Cross multiply
    58,462x = 91,115 × 91,115
  4. Step 4: Simplify right side
    58,462x = 8,301,943,225
  5. Step 5: Solve for x
    x = 8,301,943,225/58,462
  6. Step 6: Final answer
    x = 142,005.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.