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Finding the Third Proportional to 46,202 and 73,671

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Solution

The third proportional to 46,202 and 73,671 is: 117,471.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,202 : 73,671 = 73,671 : x
  2. Step 2: Convert to fraction form
    46,202/73,671 = 73,671/x
  3. Step 3: Cross multiply
    46,202x = 73,671 × 73,671
  4. Step 4: Simplify right side
    46,202x = 5,427,416,241
  5. Step 5: Solve for x
    x = 5,427,416,241/46,202
  6. Step 6: Final answer
    x = 117,471.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.