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Finding the Third Proportional to 74,658 and 118,215

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Solution

The third proportional to 74,658 and 118,215 is: 187,184.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,658 : 118,215 = 118,215 : x
  2. Step 2: Convert to fraction form
    74,658/118,215 = 118,215/x
  3. Step 3: Cross multiply
    74,658x = 118,215 × 118,215
  4. Step 4: Simplify right side
    74,658x = 13,974,786,225
  5. Step 5: Solve for x
    x = 13,974,786,225/74,658
  6. Step 6: Final answer
    x = 187,184.04

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.