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Finding the Third Proportional to 47,269.13 and 73,182.94

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Solution

The third proportional to 47,269.13 and 73,182.94 is: 113,303.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,269.13 : 73,182.94 = 73,182.94 : x
  2. Step 2: Convert to fraction form
    47,269.13/73,182.94 = 73,182.94/x
  3. Step 3: Cross multiply
    47,269.13x = 73,182.94 × 73,182.94
  4. Step 4: Simplify right side
    47,269.13x = 5,355,742,341.13
  5. Step 5: Solve for x
    x = 5,355,742,341.13/47,269.13
  6. Step 6: Final answer
    x = 113,303.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.