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Finding the Third Proportional to 76,165 and 118,409

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Solution

The third proportional to 76,165 and 118,409 is: 184,083.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,165 : 118,409 = 118,409 : x
  2. Step 2: Convert to fraction form
    76,165/118,409 = 118,409/x
  3. Step 3: Cross multiply
    76,165x = 118,409 × 118,409
  4. Step 4: Simplify right side
    76,165x = 14,020,691,281
  5. Step 5: Solve for x
    x = 14,020,691,281/76,165
  6. Step 6: Final answer
    x = 184,083.13

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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.