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Finding the Third Proportional to 76,146 and 118,554

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Solution

The third proportional to 76,146 and 118,554 is: 184,580.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,146 : 118,554 = 118,554 : x
  2. Step 2: Convert to fraction form
    76,146/118,554 = 118,554/x
  3. Step 3: Cross multiply
    76,146x = 118,554 × 118,554
  4. Step 4: Simplify right side
    76,146x = 14,055,050,916
  5. Step 5: Solve for x
    x = 14,055,050,916/76,146
  6. Step 6: Final answer
    x = 184,580.29

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.