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Finding the Third Proportional to 59,115 and 90,855

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Solution

The third proportional to 59,115 and 90,855 is: 139,636.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,115 : 90,855 = 90,855 : x
  2. Step 2: Convert to fraction form
    59,115/90,855 = 90,855/x
  3. Step 3: Cross multiply
    59,115x = 90,855 × 90,855
  4. Step 4: Simplify right side
    59,115x = 8,254,631,025
  5. Step 5: Solve for x
    x = 8,254,631,025/59,115
  6. Step 6: Final answer
    x = 139,636.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.