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Finding the Third Proportional to 58,299 and 87,495

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Solution

The third proportional to 58,299 and 87,495 is: 131,312.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,299 : 87,495 = 87,495 : x
  2. Step 2: Convert to fraction form
    58,299/87,495 = 87,495/x
  3. Step 3: Cross multiply
    58,299x = 87,495 × 87,495
  4. Step 4: Simplify right side
    58,299x = 7,655,375,025
  5. Step 5: Solve for x
    x = 7,655,375,025/58,299
  6. Step 6: Final answer
    x = 131,312.29

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