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Finding the Third Proportional to 34,319 and 74,106

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Solution

The third proportional to 34,319 and 74,106 is: 160,019.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,319 : 74,106 = 74,106 : x
  2. Step 2: Convert to fraction form
    34,319/74,106 = 74,106/x
  3. Step 3: Cross multiply
    34,319x = 74,106 × 74,106
  4. Step 4: Simplify right side
    34,319x = 5,491,699,236
  5. Step 5: Solve for x
    x = 5,491,699,236/34,319
  6. Step 6: Final answer
    x = 160,019.21

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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.