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Finding the Third Proportional to 90,533 and 118,290

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Solution

The third proportional to 90,533 and 118,290 is: 154,557.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,533 : 118,290 = 118,290 : x
  2. Step 2: Convert to fraction form
    90,533/118,290 = 118,290/x
  3. Step 3: Cross multiply
    90,533x = 118,290 × 118,290
  4. Step 4: Simplify right side
    90,533x = 13,992,524,100
  5. Step 5: Solve for x
    x = 13,992,524,100/90,533
  6. Step 6: Final answer
    x = 154,557.17

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.