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Finding the Third Proportional to 90,083 and 139,495

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Solution

The third proportional to 90,083 and 139,495 is: 216,010.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,083 : 139,495 = 139,495 : x
  2. Step 2: Convert to fraction form
    90,083/139,495 = 139,495/x
  3. Step 3: Cross multiply
    90,083x = 139,495 × 139,495
  4. Step 4: Simplify right side
    90,083x = 19,458,855,025
  5. Step 5: Solve for x
    x = 19,458,855,025/90,083
  6. Step 6: Final answer
    x = 216,010.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.