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Finding the Third Proportional to 74,964 and 117,054

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Solution

The third proportional to 74,964 and 117,054 is: 182,776.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,964 : 117,054 = 117,054 : x
  2. Step 2: Convert to fraction form
    74,964/117,054 = 117,054/x
  3. Step 3: Cross multiply
    74,964x = 117,054 × 117,054
  4. Step 4: Simplify right side
    74,964x = 13,701,638,916
  5. Step 5: Solve for x
    x = 13,701,638,916/74,964
  6. Step 6: Final answer
    x = 182,776.25

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.