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Finding the Third Proportional to 51,009.75 and 78,656.06

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Solution

The third proportional to 51,009.75 and 78,656.06 is: 121,286.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,009.75 : 78,656.06 = 78,656.06 : x
  2. Step 2: Convert to fraction form
    51,009.75/78,656.06 = 78,656.06/x
  3. Step 3: Cross multiply
    51,009.75x = 78,656.06 × 78,656.06
  4. Step 4: Simplify right side
    51,009.75x = 6,186,776,168.00
  5. Step 5: Solve for x
    x = 6,186,776,168.00/51,009.75
  6. Step 6: Final answer
    x = 121,286.15

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.