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Finding the Third Proportional to 45,970 and 68,090

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Solution

The third proportional to 45,970 and 68,090 is: 100,853.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,970 : 68,090 = 68,090 : x
  2. Step 2: Convert to fraction form
    45,970/68,090 = 68,090/x
  3. Step 3: Cross multiply
    45,970x = 68,090 × 68,090
  4. Step 4: Simplify right side
    45,970x = 4,636,248,100
  5. Step 5: Solve for x
    x = 4,636,248,100/45,970
  6. Step 6: Final answer
    x = 100,853.78

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.