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Finding the Third Proportional to 42,944 and 91,594

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Solution

The third proportional to 42,944 and 91,594 is: 195,358.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,944 : 91,594 = 91,594 : x
  2. Step 2: Convert to fraction form
    42,944/91,594 = 91,594/x
  3. Step 3: Cross multiply
    42,944x = 91,594 × 91,594
  4. Step 4: Simplify right side
    42,944x = 8,389,460,836
  5. Step 5: Solve for x
    x = 8,389,460,836/42,944
  6. Step 6: Final answer
    x = 195,358.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.