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Finding the Third Proportional to 93,673 and 142,841

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Solution

The third proportional to 93,673 and 142,841 is: 217,816.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,673 : 142,841 = 142,841 : x
  2. Step 2: Convert to fraction form
    93,673/142,841 = 142,841/x
  3. Step 3: Cross multiply
    93,673x = 142,841 × 142,841
  4. Step 4: Simplify right side
    93,673x = 20,403,551,281
  5. Step 5: Solve for x
    x = 20,403,551,281/93,673
  6. Step 6: Final answer
    x = 217,816.78

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Why These Related Problems?

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