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Finding the Third Proportional to 46,202 and 74,406

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Solution

The third proportional to 46,202 and 74,406 is: 119,827.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,202 : 74,406 = 74,406 : x
  2. Step 2: Convert to fraction form
    46,202/74,406 = 74,406/x
  3. Step 3: Cross multiply
    46,202x = 74,406 × 74,406
  4. Step 4: Simplify right side
    46,202x = 5,536,252,836
  5. Step 5: Solve for x
    x = 5,536,252,836/46,202
  6. Step 6: Final answer
    x = 119,827.13

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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.