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Finding the Third Proportional to 51,235.03 and 77,535.98

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Solution

The third proportional to 51,235.03 and 77,535.98 is: 117,338.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,235.03 : 77,535.98 = 77,535.98 : x
  2. Step 2: Convert to fraction form
    51,235.03/77,535.98 = 77,535.98/x
  3. Step 3: Cross multiply
    51,235.03x = 77,535.98 × 77,535.98
  4. Step 4: Simplify right side
    51,235.03x = 6,011,828,873.00
  5. Step 5: Solve for x
    x = 6,011,828,873.00/51,235.03
  6. Step 6: Final answer
    x = 117,338.25

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.