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Finding the Third Proportional to 46,341 and 74,614

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Solution

The third proportional to 46,341 and 74,614 is: 120,136.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,341 : 74,614 = 74,614 : x
  2. Step 2: Convert to fraction form
    46,341/74,614 = 74,614/x
  3. Step 3: Cross multiply
    46,341x = 74,614 × 74,614
  4. Step 4: Simplify right side
    46,341x = 5,567,248,996
  5. Step 5: Solve for x
    x = 5,567,248,996/46,341
  6. Step 6: Final answer
    x = 120,136.57

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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.