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Finding the Third Proportional to 86,303 and 116,601

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Solution

The third proportional to 86,303 and 116,601 is: 157,535.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,303 : 116,601 = 116,601 : x
  2. Step 2: Convert to fraction form
    86,303/116,601 = 116,601/x
  3. Step 3: Cross multiply
    86,303x = 116,601 × 116,601
  4. Step 4: Simplify right side
    86,303x = 13,595,793,201
  5. Step 5: Solve for x
    x = 13,595,793,201/86,303
  6. Step 6: Final answer
    x = 157,535.58

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Why These Related Problems?

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