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Finding the Third Proportional to 54,480 and 77,094

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Solution

The third proportional to 54,480 and 77,094 is: 109,094.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,480 : 77,094 = 77,094 : x
  2. Step 2: Convert to fraction form
    54,480/77,094 = 77,094/x
  3. Step 3: Cross multiply
    54,480x = 77,094 × 77,094
  4. Step 4: Simplify right side
    54,480x = 5,943,484,836
  5. Step 5: Solve for x
    x = 5,943,484,836/54,480
  6. Step 6: Final answer
    x = 109,094.80

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.