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Finding the Third Proportional to 93,946 and 197,124

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Solution

The third proportional to 93,946 and 197,124 is: 413,619.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,946 : 197,124 = 197,124 : x
  2. Step 2: Convert to fraction form
    93,946/197,124 = 197,124/x
  3. Step 3: Cross multiply
    93,946x = 197,124 × 197,124
  4. Step 4: Simplify right side
    93,946x = 38,857,871,376
  5. Step 5: Solve for x
    x = 38,857,871,376/93,946
  6. Step 6: Final answer
    x = 413,619.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.