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Finding the Third Proportional to 77,430 and 115,841

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Solution

The third proportional to 77,430 and 115,841 is: 173,306.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,430 : 115,841 = 115,841 : x
  2. Step 2: Convert to fraction form
    77,430/115,841 = 115,841/x
  3. Step 3: Cross multiply
    77,430x = 115,841 × 115,841
  4. Step 4: Simplify right side
    77,430x = 13,419,137,281
  5. Step 5: Solve for x
    x = 13,419,137,281/77,430
  6. Step 6: Final answer
    x = 173,306.69

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