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Finding the Third Proportional to 93,652 and 207,000

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Solution

The third proportional to 93,652 and 207,000 is: 457,534.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,652 : 207,000 = 207,000 : x
  2. Step 2: Convert to fraction form
    93,652/207,000 = 207,000/x
  3. Step 3: Cross multiply
    93,652x = 207,000 × 207,000
  4. Step 4: Simplify right side
    93,652x = 42,849,000,000
  5. Step 5: Solve for x
    x = 42,849,000,000/93,652
  6. Step 6: Final answer
    x = 457,534.28

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.