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Finding the Third Proportional to 90,506 and 133,048

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Solution

The third proportional to 90,506 and 133,048 is: 195,586.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,506 : 133,048 = 133,048 : x
  2. Step 2: Convert to fraction form
    90,506/133,048 = 133,048/x
  3. Step 3: Cross multiply
    90,506x = 133,048 × 133,048
  4. Step 4: Simplify right side
    90,506x = 17,701,770,304
  5. Step 5: Solve for x
    x = 17,701,770,304/90,506
  6. Step 6: Final answer
    x = 195,586.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.