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Finding the Third Proportional to 74,800 and 114,968

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Solution

The third proportional to 74,800 and 114,968 is: 176,706.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,800 : 114,968 = 114,968 : x
  2. Step 2: Convert to fraction form
    74,800/114,968 = 114,968/x
  3. Step 3: Cross multiply
    74,800x = 114,968 × 114,968
  4. Step 4: Simplify right side
    74,800x = 13,217,641,024
  5. Step 5: Solve for x
    x = 13,217,641,024/74,800
  6. Step 6: Final answer
    x = 176,706.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.