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Finding the Third Proportional to 45,103 and 72,473

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Solution

The third proportional to 45,103 and 72,473 is: 116,452.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,103 : 72,473 = 72,473 : x
  2. Step 2: Convert to fraction form
    45,103/72,473 = 72,473/x
  3. Step 3: Cross multiply
    45,103x = 72,473 × 72,473
  4. Step 4: Simplify right side
    45,103x = 5,252,335,729
  5. Step 5: Solve for x
    x = 5,252,335,729/45,103
  6. Step 6: Final answer
    x = 116,452.03

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.