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Finding the Third Proportional to 93,967 and 202,712

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Solution

The third proportional to 93,967 and 202,712 is: 437,304.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,967 : 202,712 = 202,712 : x
  2. Step 2: Convert to fraction form
    93,967/202,712 = 202,712/x
  3. Step 3: Cross multiply
    93,967x = 202,712 × 202,712
  4. Step 4: Simplify right side
    93,967x = 41,092,154,944
  5. Step 5: Solve for x
    x = 41,092,154,944/93,967
  6. Step 6: Final answer
    x = 437,304.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.