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Finding the Third Proportional to 74,934 and 160,495

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Solution

The third proportional to 74,934 and 160,495 is: 343,751.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,934 : 160,495 = 160,495 : x
  2. Step 2: Convert to fraction form
    74,934/160,495 = 160,495/x
  3. Step 3: Cross multiply
    74,934x = 160,495 × 160,495
  4. Step 4: Simplify right side
    74,934x = 25,758,645,025
  5. Step 5: Solve for x
    x = 25,758,645,025/74,934
  6. Step 6: Final answer
    x = 343,751.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.