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Finding the Third Proportional to 40,574 and 86,881

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Solution

The third proportional to 40,574 and 86,881 is: 186,038.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,574 : 86,881 = 86,881 : x
  2. Step 2: Convert to fraction form
    40,574/86,881 = 86,881/x
  3. Step 3: Cross multiply
    40,574x = 86,881 × 86,881
  4. Step 4: Simplify right side
    40,574x = 7,548,308,161
  5. Step 5: Solve for x
    x = 7,548,308,161/40,574
  6. Step 6: Final answer
    x = 186,038.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.