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Finding the Third Proportional to 50,111.25 and 77,056.50

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Solution

The third proportional to 50,111.25 and 77,056.50 is: 118,490.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,111.25 : 77,056.50 = 77,056.50 : x
  2. Step 2: Convert to fraction form
    50,111.25/77,056.50 = 77,056.50/x
  3. Step 3: Cross multiply
    50,111.25x = 77,056.50 × 77,056.50
  4. Step 4: Simplify right side
    50,111.25x = 5,937,704,192.25
  5. Step 5: Solve for x
    x = 5,937,704,192.25/50,111.25
  6. Step 6: Final answer
    x = 118,490.44

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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.