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Finding the Third Proportional to 77,430 and 109,042

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Solution

The third proportional to 77,430 and 109,042 is: 153,560.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,430 : 109,042 = 109,042 : x
  2. Step 2: Convert to fraction form
    77,430/109,042 = 109,042/x
  3. Step 3: Cross multiply
    77,430x = 109,042 × 109,042
  4. Step 4: Simplify right side
    77,430x = 11,890,157,764
  5. Step 5: Solve for x
    x = 11,890,157,764/77,430
  6. Step 6: Final answer
    x = 153,560.09

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.