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Finding the Third Proportional to 54,964 and 74,664

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Solution

The third proportional to 54,964 and 74,664 is: 101,424.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,964 : 74,664 = 74,664 : x
  2. Step 2: Convert to fraction form
    54,964/74,664 = 74,664/x
  3. Step 3: Cross multiply
    54,964x = 74,664 × 74,664
  4. Step 4: Simplify right side
    54,964x = 5,574,712,896
  5. Step 5: Solve for x
    x = 5,574,712,896/54,964
  6. Step 6: Final answer
    x = 101,424.80

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.