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Finding the Third Proportional to 93,878 and 145,559

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Solution

The third proportional to 93,878 and 145,559 is: 225,691.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,878 : 145,559 = 145,559 : x
  2. Step 2: Convert to fraction form
    93,878/145,559 = 145,559/x
  3. Step 3: Cross multiply
    93,878x = 145,559 × 145,559
  4. Step 4: Simplify right side
    93,878x = 21,187,422,481
  5. Step 5: Solve for x
    x = 21,187,422,481/93,878
  6. Step 6: Final answer
    x = 225,691.03

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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.