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Finding the Third Proportional to 93,569 and 200,534

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Solution

The third proportional to 93,569 and 200,534 is: 429,777.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,569 : 200,534 = 200,534 : x
  2. Step 2: Convert to fraction form
    93,569/200,534 = 200,534/x
  3. Step 3: Cross multiply
    93,569x = 200,534 × 200,534
  4. Step 4: Simplify right side
    93,569x = 40,213,885,156
  5. Step 5: Solve for x
    x = 40,213,885,156/93,569
  6. Step 6: Final answer
    x = 429,777.87

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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.