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Finding the Third Proportional to 86,308 and 116,608

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Solution

The third proportional to 86,308 and 116,608 is: 157,545.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,308 : 116,608 = 116,608 : x
  2. Step 2: Convert to fraction form
    86,308/116,608 = 116,608/x
  3. Step 3: Cross multiply
    86,308x = 116,608 × 116,608
  4. Step 4: Simplify right side
    86,308x = 13,597,425,664
  5. Step 5: Solve for x
    x = 13,597,425,664/86,308
  6. Step 6: Final answer
    x = 157,545.37

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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.