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Finding the Third Proportional to 93,829 and 138,263

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Solution

The third proportional to 93,829 and 138,263 is: 203,739.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,829 : 138,263 = 138,263 : x
  2. Step 2: Convert to fraction form
    93,829/138,263 = 138,263/x
  3. Step 3: Cross multiply
    93,829x = 138,263 × 138,263
  4. Step 4: Simplify right side
    93,829x = 19,116,657,169
  5. Step 5: Solve for x
    x = 19,116,657,169/93,829
  6. Step 6: Final answer
    x = 203,739.33

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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.