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Finding the Third Proportional to 86,307 and 116,607

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Solution

The third proportional to 86,307 and 116,607 is: 157,544.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,307 : 116,607 = 116,607 : x
  2. Step 2: Convert to fraction form
    86,307/116,607 = 116,607/x
  3. Step 3: Cross multiply
    86,307x = 116,607 × 116,607
  4. Step 4: Simplify right side
    86,307x = 13,597,192,449
  5. Step 5: Solve for x
    x = 13,597,192,449/86,307
  6. Step 6: Final answer
    x = 157,544.49

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.