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Finding the Third Proportional to 46,600 and 74,122

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Solution

The third proportional to 46,600 and 74,122 is: 117,898.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,600 : 74,122 = 74,122 : x
  2. Step 2: Convert to fraction form
    46,600/74,122 = 74,122/x
  3. Step 3: Cross multiply
    46,600x = 74,122 × 74,122
  4. Step 4: Simplify right side
    46,600x = 5,494,070,884
  5. Step 5: Solve for x
    x = 5,494,070,884/46,600
  6. Step 6: Final answer
    x = 117,898.52

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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.