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Finding the Third Proportional to 77,430 and 109,039.50

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Solution

The third proportional to 77,430 and 109,039.50 is: 153,553.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,430 : 109,039.50 = 109,039.50 : x
  2. Step 2: Convert to fraction form
    77,430/109,039.50 = 109,039.50/x
  3. Step 3: Cross multiply
    77,430x = 109,039.50 × 109,039.50
  4. Step 4: Simplify right side
    77,430x = 11,889,612,560.25
  5. Step 5: Solve for x
    x = 11,889,612,560.25/77,430
  6. Step 6: Final answer
    x = 153,553.05

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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.