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Finding the Third Proportional to 75,710.63 and 110,811.75

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Solution

The third proportional to 75,710.63 and 110,811.75 is: 162,186.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,710.63 : 110,811.75 = 110,811.75 : x
  2. Step 2: Convert to fraction form
    75,710.63/110,811.75 = 110,811.75/x
  3. Step 3: Cross multiply
    75,710.63x = 110,811.75 × 110,811.75
  4. Step 4: Simplify right side
    75,710.63x = 12,279,243,938.06
  5. Step 5: Solve for x
    x = 12,279,243,938.06/75,710.63
  6. Step 6: Final answer
    x = 162,186.54

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.