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Finding the Third Proportional to 74,095 and 112,958

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Solution

The third proportional to 74,095 and 112,958 is: 172,204.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,095 : 112,958 = 112,958 : x
  2. Step 2: Convert to fraction form
    74,095/112,958 = 112,958/x
  3. Step 3: Cross multiply
    74,095x = 112,958 × 112,958
  4. Step 4: Simplify right side
    74,095x = 12,759,509,764
  5. Step 5: Solve for x
    x = 12,759,509,764/74,095
  6. Step 6: Final answer
    x = 172,204.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.