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Finding the Third Proportional to 90,654 and 130,569

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Solution

The third proportional to 90,654 and 130,569 is: 188,058.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,654 : 130,569 = 130,569 : x
  2. Step 2: Convert to fraction form
    90,654/130,569 = 130,569/x
  3. Step 3: Cross multiply
    90,654x = 130,569 × 130,569
  4. Step 4: Simplify right side
    90,654x = 17,048,263,761
  5. Step 5: Solve for x
    x = 17,048,263,761/90,654
  6. Step 6: Final answer
    x = 188,058.59

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.