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Finding the Third Proportional to 89,442 and 139,050

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Solution

The third proportional to 89,442 and 139,050 is: 216,172.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,442 : 139,050 = 139,050 : x
  2. Step 2: Convert to fraction form
    89,442/139,050 = 139,050/x
  3. Step 3: Cross multiply
    89,442x = 139,050 × 139,050
  4. Step 4: Simplify right side
    89,442x = 19,334,902,500
  5. Step 5: Solve for x
    x = 19,334,902,500/89,442
  6. Step 6: Final answer
    x = 216,172.52

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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.