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Finding the Third Proportional to 93,126 and 142,691

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Solution

The third proportional to 93,126 and 142,691 is: 218,636.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,126 : 142,691 = 142,691 : x
  2. Step 2: Convert to fraction form
    93,126/142,691 = 142,691/x
  3. Step 3: Cross multiply
    93,126x = 142,691 × 142,691
  4. Step 4: Simplify right side
    93,126x = 20,360,721,481
  5. Step 5: Solve for x
    x = 20,360,721,481/93,126
  6. Step 6: Final answer
    x = 218,636.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.