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Finding the Third Proportional to 73,294 and 160,654

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Solution

The third proportional to 73,294 and 160,654 is: 352,139.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,294 : 160,654 = 160,654 : x
  2. Step 2: Convert to fraction form
    73,294/160,654 = 160,654/x
  3. Step 3: Cross multiply
    73,294x = 160,654 × 160,654
  4. Step 4: Simplify right side
    73,294x = 25,809,707,716
  5. Step 5: Solve for x
    x = 25,809,707,716/73,294
  6. Step 6: Final answer
    x = 352,139.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.