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Finding the Third Proportional to 55,455 and 77,610.50

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Solution

The third proportional to 55,455 and 77,610.50 is: 108,617.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,455 : 77,610.50 = 77,610.50 : x
  2. Step 2: Convert to fraction form
    55,455/77,610.50 = 77,610.50/x
  3. Step 3: Cross multiply
    55,455x = 77,610.50 × 77,610.50
  4. Step 4: Simplify right side
    55,455x = 6,023,389,710.25
  5. Step 5: Solve for x
    x = 6,023,389,710.25/55,455
  6. Step 6: Final answer
    x = 108,617.61

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.