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Finding the Third Proportional to 90,603 and 139,864.50

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Solution

The third proportional to 90,603 and 139,864.50 is: 215,909.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,603 : 139,864.50 = 139,864.50 : x
  2. Step 2: Convert to fraction form
    90,603/139,864.50 = 139,864.50/x
  3. Step 3: Cross multiply
    90,603x = 139,864.50 × 139,864.50
  4. Step 4: Simplify right side
    90,603x = 19,562,078,360.25
  5. Step 5: Solve for x
    x = 19,562,078,360.25/90,603
  6. Step 6: Final answer
    x = 215,909.83

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