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Finding the Third Proportional to 93,690 and 142,875

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Solution

The third proportional to 93,690 and 142,875 is: 217,880.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,690 : 142,875 = 142,875 : x
  2. Step 2: Convert to fraction form
    93,690/142,875 = 142,875/x
  3. Step 3: Cross multiply
    93,690x = 142,875 × 142,875
  4. Step 4: Simplify right side
    93,690x = 20,413,265,625
  5. Step 5: Solve for x
    x = 20,413,265,625/93,690
  6. Step 6: Final answer
    x = 217,880.94

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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.