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Finding the Third Proportional to 88,672 and 194,570

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Solution

The third proportional to 88,672 and 194,570 is: 426,938.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,672 : 194,570 = 194,570 : x
  2. Step 2: Convert to fraction form
    88,672/194,570 = 194,570/x
  3. Step 3: Cross multiply
    88,672x = 194,570 × 194,570
  4. Step 4: Simplify right side
    88,672x = 37,857,484,900
  5. Step 5: Solve for x
    x = 37,857,484,900/88,672
  6. Step 6: Final answer
    x = 426,938.43

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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.