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Finding the Third Proportional to 90,354 and 139,627

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Solution

The third proportional to 90,354 and 139,627 is: 215,770.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,354 : 139,627 = 139,627 : x
  2. Step 2: Convert to fraction form
    90,354/139,627 = 139,627/x
  3. Step 3: Cross multiply
    90,354x = 139,627 × 139,627
  4. Step 4: Simplify right side
    90,354x = 19,495,699,129
  5. Step 5: Solve for x
    x = 19,495,699,129/90,354
  6. Step 6: Final answer
    x = 215,770.18

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