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Finding the Third Proportional to 74,658 and 115,590

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Solution

The third proportional to 74,658 and 115,590 is: 178,963.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,658 : 115,590 = 115,590 : x
  2. Step 2: Convert to fraction form
    74,658/115,590 = 115,590/x
  3. Step 3: Cross multiply
    74,658x = 115,590 × 115,590
  4. Step 4: Simplify right side
    74,658x = 13,361,048,100
  5. Step 5: Solve for x
    x = 13,361,048,100/74,658
  6. Step 6: Final answer
    x = 178,963.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.