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Finding the Third Proportional to 55,490.50 and 78,518

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Solution

The third proportional to 55,490.50 and 78,518 is: 111,101.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,490.50 : 78,518 = 78,518 : x
  2. Step 2: Convert to fraction form
    55,490.50/78,518 = 78,518/x
  3. Step 3: Cross multiply
    55,490.50x = 78,518 × 78,518
  4. Step 4: Simplify right side
    55,490.50x = 6,165,076,324
  5. Step 5: Solve for x
    x = 6,165,076,324/55,490.50
  6. Step 6: Final answer
    x = 111,101.47

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.