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Finding the Third Proportional to 51,240 and 77,820

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Solution

The third proportional to 51,240 and 77,820 is: 118,187.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,240 : 77,820 = 77,820 : x
  2. Step 2: Convert to fraction form
    51,240/77,820 = 77,820/x
  3. Step 3: Cross multiply
    51,240x = 77,820 × 77,820
  4. Step 4: Simplify right side
    51,240x = 6,055,952,400
  5. Step 5: Solve for x
    x = 6,055,952,400/51,240
  6. Step 6: Final answer
    x = 118,187.99

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.