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Finding the Third Proportional to 48,742 and 73,473

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Solution

The third proportional to 48,742 and 73,473 is: 110,752.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,742 : 73,473 = 73,473 : x
  2. Step 2: Convert to fraction form
    48,742/73,473 = 73,473/x
  3. Step 3: Cross multiply
    48,742x = 73,473 × 73,473
  4. Step 4: Simplify right side
    48,742x = 5,398,281,729
  5. Step 5: Solve for x
    x = 5,398,281,729/48,742
  6. Step 6: Final answer
    x = 110,752.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.