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Finding the Third Proportional to 93,389 and 144,846

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Solution

The third proportional to 93,389 and 144,846 is: 224,655.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,389 : 144,846 = 144,846 : x
  2. Step 2: Convert to fraction form
    93,389/144,846 = 144,846/x
  3. Step 3: Cross multiply
    93,389x = 144,846 × 144,846
  4. Step 4: Simplify right side
    93,389x = 20,980,363,716
  5. Step 5: Solve for x
    x = 20,980,363,716/93,389
  6. Step 6: Final answer
    x = 224,655.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.