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Finding the Third Proportional to 86,294 and 114,699

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Solution

The third proportional to 86,294 and 114,699 is: 152,453.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,294 : 114,699 = 114,699 : x
  2. Step 2: Convert to fraction form
    86,294/114,699 = 114,699/x
  3. Step 3: Cross multiply
    86,294x = 114,699 × 114,699
  4. Step 4: Simplify right side
    86,294x = 13,155,860,601
  5. Step 5: Solve for x
    x = 13,155,860,601/86,294
  6. Step 6: Final answer
    x = 152,453.94

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.