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Finding the Third Proportional to 93,400 and 142,036

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Solution

The third proportional to 93,400 and 142,036 is: 215,998.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,400 : 142,036 = 142,036 : x
  2. Step 2: Convert to fraction form
    93,400/142,036 = 142,036/x
  3. Step 3: Cross multiply
    93,400x = 142,036 × 142,036
  4. Step 4: Simplify right side
    93,400x = 20,174,225,296
  5. Step 5: Solve for x
    x = 20,174,225,296/93,400
  6. Step 6: Final answer
    x = 215,998.13

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.