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Finding the Third Proportional to 40,356 and 86,202

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Solution

The third proportional to 40,356 and 86,202 is: 184,130.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,356 : 86,202 = 86,202 : x
  2. Step 2: Convert to fraction form
    40,356/86,202 = 86,202/x
  3. Step 3: Cross multiply
    40,356x = 86,202 × 86,202
  4. Step 4: Simplify right side
    40,356x = 7,430,784,804
  5. Step 5: Solve for x
    x = 7,430,784,804/40,356
  6. Step 6: Final answer
    x = 184,130.86

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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.