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Finding the Third Proportional to 93,692 and 149,853

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Solution

The third proportional to 93,692 and 149,853 is: 239,678.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,692 : 149,853 = 149,853 : x
  2. Step 2: Convert to fraction form
    93,692/149,853 = 149,853/x
  3. Step 3: Cross multiply
    93,692x = 149,853 × 149,853
  4. Step 4: Simplify right side
    93,692x = 22,455,921,609
  5. Step 5: Solve for x
    x = 22,455,921,609/93,692
  6. Step 6: Final answer
    x = 239,678.11

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.