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Finding the Third Proportional to 40,770 and 86,454

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Solution

The third proportional to 40,770 and 86,454 is: 183,328.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,770 : 86,454 = 86,454 : x
  2. Step 2: Convert to fraction form
    40,770/86,454 = 86,454/x
  3. Step 3: Cross multiply
    40,770x = 86,454 × 86,454
  4. Step 4: Simplify right side
    40,770x = 7,474,294,116
  5. Step 5: Solve for x
    x = 7,474,294,116/40,770
  6. Step 6: Final answer
    x = 183,328.28

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.