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Finding the Third Proportional to 34,454 and 74,414

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Solution

The third proportional to 34,454 and 74,414 is: 160,719.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,454 : 74,414 = 74,414 : x
  2. Step 2: Convert to fraction form
    34,454/74,414 = 74,414/x
  3. Step 3: Cross multiply
    34,454x = 74,414 × 74,414
  4. Step 4: Simplify right side
    34,454x = 5,537,443,396
  5. Step 5: Solve for x
    x = 5,537,443,396/34,454
  6. Step 6: Final answer
    x = 160,719.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.