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Finding the Third Proportional to 93,827.75 and 138,261

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Solution

The third proportional to 93,827.75 and 138,261 is: 203,736.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,827.75 : 138,261 = 138,261 : x
  2. Step 2: Convert to fraction form
    93,827.75/138,261 = 138,261/x
  3. Step 3: Cross multiply
    93,827.75x = 138,261 × 138,261
  4. Step 4: Simplify right side
    93,827.75x = 19,116,104,121
  5. Step 5: Solve for x
    x = 19,116,104,121/93,827.75
  6. Step 6: Final answer
    x = 203,736.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.