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Finding the Third Proportional to 34,361 and 74,597

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Solution

The third proportional to 34,361 and 74,597 is: 161,948.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,361 : 74,597 = 74,597 : x
  2. Step 2: Convert to fraction form
    34,361/74,597 = 74,597/x
  3. Step 3: Cross multiply
    34,361x = 74,597 × 74,597
  4. Step 4: Simplify right side
    34,361x = 5,564,712,409
  5. Step 5: Solve for x
    x = 5,564,712,409/34,361
  6. Step 6: Final answer
    x = 161,948.50

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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.