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Finding the Third Proportional to 34,312 and 74,416

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Solution

The third proportional to 34,312 and 74,416 is: 161,393.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,312 : 74,416 = 74,416 : x
  2. Step 2: Convert to fraction form
    34,312/74,416 = 74,416/x
  3. Step 3: Cross multiply
    34,312x = 74,416 × 74,416
  4. Step 4: Simplify right side
    34,312x = 5,537,741,056
  5. Step 5: Solve for x
    x = 5,537,741,056/34,312
  6. Step 6: Final answer
    x = 161,393.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.