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Finding the Third Proportional to 92,725 and 198,572

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Solution

The third proportional to 92,725 and 198,572 is: 425,244.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,725 : 198,572 = 198,572 : x
  2. Step 2: Convert to fraction form
    92,725/198,572 = 198,572/x
  3. Step 3: Cross multiply
    92,725x = 198,572 × 198,572
  4. Step 4: Simplify right side
    92,725x = 39,430,839,184
  5. Step 5: Solve for x
    x = 39,430,839,184/92,725
  6. Step 6: Final answer
    x = 425,244.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.