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Finding the Third Proportional to 93,984 and 137,226

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Solution

The third proportional to 93,984 and 137,226 is: 200,363.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,984 : 137,226 = 137,226 : x
  2. Step 2: Convert to fraction form
    93,984/137,226 = 137,226/x
  3. Step 3: Cross multiply
    93,984x = 137,226 × 137,226
  4. Step 4: Simplify right side
    93,984x = 18,830,975,076
  5. Step 5: Solve for x
    x = 18,830,975,076/93,984
  6. Step 6: Final answer
    x = 200,363.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.