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Finding the Third Proportional to 56,477.25 and 84,722.63

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Solution

The third proportional to 56,477.25 and 84,722.63 is: 127,094.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,477.25 : 84,722.63 = 84,722.63 : x
  2. Step 2: Convert to fraction form
    56,477.25/84,722.63 = 84,722.63/x
  3. Step 3: Cross multiply
    56,477.25x = 84,722.63 × 84,722.63
  4. Step 4: Simplify right side
    56,477.25x = 7,177,923,186.89
  5. Step 5: Solve for x
    x = 7,177,923,186.89/56,477.25
  6. Step 6: Final answer
    x = 127,094.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.