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Finding the Third Proportional to 90,473 and 133,077

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Solution

The third proportional to 90,473 and 133,077 is: 195,743.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,473 : 133,077 = 133,077 : x
  2. Step 2: Convert to fraction form
    90,473/133,077 = 133,077/x
  3. Step 3: Cross multiply
    90,473x = 133,077 × 133,077
  4. Step 4: Simplify right side
    90,473x = 17,709,487,929
  5. Step 5: Solve for x
    x = 17,709,487,929/90,473
  6. Step 6: Final answer
    x = 195,743.35

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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.