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Finding the Third Proportional to 78,352 and 117,699

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Solution

The third proportional to 78,352 and 117,699 is: 176,805.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,352 : 117,699 = 117,699 : x
  2. Step 2: Convert to fraction form
    78,352/117,699 = 117,699/x
  3. Step 3: Cross multiply
    78,352x = 117,699 × 117,699
  4. Step 4: Simplify right side
    78,352x = 13,853,054,601
  5. Step 5: Solve for x
    x = 13,853,054,601/78,352
  6. Step 6: Final answer
    x = 176,805.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.