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Finding the Third Proportional to 93,681 and 142,867

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Solution

The third proportional to 93,681 and 142,867 is: 217,877.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,681 : 142,867 = 142,867 : x
  2. Step 2: Convert to fraction form
    93,681/142,867 = 142,867/x
  3. Step 3: Cross multiply
    93,681x = 142,867 × 142,867
  4. Step 4: Simplify right side
    93,681x = 20,410,979,689
  5. Step 5: Solve for x
    x = 20,410,979,689/93,681
  6. Step 6: Final answer
    x = 217,877.47

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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.