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Finding the Third Proportional to 34,312 and 74,634

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Solution

The third proportional to 34,312 and 74,634 is: 162,340.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,312 : 74,634 = 74,634 : x
  2. Step 2: Convert to fraction form
    34,312/74,634 = 74,634/x
  3. Step 3: Cross multiply
    34,312x = 74,634 × 74,634
  4. Step 4: Simplify right side
    34,312x = 5,570,233,956
  5. Step 5: Solve for x
    x = 5,570,233,956/34,312
  6. Step 6: Final answer
    x = 162,340.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.