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Finding the Third Proportional to 76,804 and 118,484

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Solution

The third proportional to 76,804 and 118,484 is: 182,782.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,804 : 118,484 = 118,484 : x
  2. Step 2: Convert to fraction form
    76,804/118,484 = 118,484/x
  3. Step 3: Cross multiply
    76,804x = 118,484 × 118,484
  4. Step 4: Simplify right side
    76,804x = 14,038,458,256
  5. Step 5: Solve for x
    x = 14,038,458,256/76,804
  6. Step 6: Final answer
    x = 182,782.91

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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.