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Finding the Third Proportional to 40,402 and 86,420

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Solution

The third proportional to 40,402 and 86,420 is: 184,852.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,402 : 86,420 = 86,420 : x
  2. Step 2: Convert to fraction form
    40,402/86,420 = 86,420/x
  3. Step 3: Cross multiply
    40,402x = 86,420 × 86,420
  4. Step 4: Simplify right side
    40,402x = 7,468,416,400
  5. Step 5: Solve for x
    x = 7,468,416,400/40,402
  6. Step 6: Final answer
    x = 184,852.64

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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.