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Finding the Third Proportional to 93,669 and 142,835

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Solution

The third proportional to 93,669 and 142,835 is: 217,807.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,669 : 142,835 = 142,835 : x
  2. Step 2: Convert to fraction form
    93,669/142,835 = 142,835/x
  3. Step 3: Cross multiply
    93,669x = 142,835 × 142,835
  4. Step 4: Simplify right side
    93,669x = 20,401,837,225
  5. Step 5: Solve for x
    x = 20,401,837,225/93,669
  6. Step 6: Final answer
    x = 217,807.78

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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.