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Finding the Third Proportional to 74,904 and 116,964

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Solution

The third proportional to 74,904 and 116,964 is: 182,641.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,904 : 116,964 = 116,964 : x
  2. Step 2: Convert to fraction form
    74,904/116,964 = 116,964/x
  3. Step 3: Cross multiply
    74,904x = 116,964 × 116,964
  4. Step 4: Simplify right side
    74,904x = 13,680,577,296
  5. Step 5: Solve for x
    x = 13,680,577,296/74,904
  6. Step 6: Final answer
    x = 182,641.48

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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.