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Finding the Third Proportional to 53,820.70 and 77,040.49

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Solution

The third proportional to 53,820.70 and 77,040.49 is: 110,277.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,820.70 : 77,040.49 = 77,040.49 : x
  2. Step 2: Convert to fraction form
    53,820.70/77,040.49 = 77,040.49/x
  3. Step 3: Cross multiply
    53,820.70x = 77,040.49 × 77,040.49
  4. Step 4: Simplify right side
    53,820.70x = 5,935,237,436.49
  5. Step 5: Solve for x
    x = 5,935,237,436.49/53,820.70
  6. Step 6: Final answer
    x = 110,277.96

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.