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Finding the Third Proportional to 93,854 and 145,446

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Solution

The third proportional to 93,854 and 145,446 is: 225,398.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,854 : 145,446 = 145,446 : x
  2. Step 2: Convert to fraction form
    93,854/145,446 = 145,446/x
  3. Step 3: Cross multiply
    93,854x = 145,446 × 145,446
  4. Step 4: Simplify right side
    93,854x = 21,154,538,916
  5. Step 5: Solve for x
    x = 21,154,538,916/93,854
  6. Step 6: Final answer
    x = 225,398.37

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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.