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Finding the Third Proportional to 40,129 and 86,607

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Solution

The third proportional to 40,129 and 86,607 is: 186,916.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,129 : 86,607 = 86,607 : x
  2. Step 2: Convert to fraction form
    40,129/86,607 = 86,607/x
  3. Step 3: Cross multiply
    40,129x = 86,607 × 86,607
  4. Step 4: Simplify right side
    40,129x = 7,500,772,449
  5. Step 5: Solve for x
    x = 7,500,772,449/40,129
  6. Step 6: Final answer
    x = 186,916.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.