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Finding the Third Proportional to 55,145.81 and 77,655.59

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Solution

The third proportional to 55,145.81 and 77,655.59 is: 109,353.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,145.81 : 77,655.59 = 77,655.59 : x
  2. Step 2: Convert to fraction form
    55,145.81/77,655.59 = 77,655.59/x
  3. Step 3: Cross multiply
    55,145.81x = 77,655.59 × 77,655.59
  4. Step 4: Simplify right side
    55,145.81x = 6,030,390,027.30
  5. Step 5: Solve for x
    x = 6,030,390,027.30/55,145.81
  6. Step 6: Final answer
    x = 109,353.54

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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.