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Finding the Third Proportional to 76,455 and 118,091

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Solution

The third proportional to 76,455 and 118,091 is: 182,401.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,455 : 118,091 = 118,091 : x
  2. Step 2: Convert to fraction form
    76,455/118,091 = 118,091/x
  3. Step 3: Cross multiply
    76,455x = 118,091 × 118,091
  4. Step 4: Simplify right side
    76,455x = 13,945,484,281
  5. Step 5: Solve for x
    x = 13,945,484,281/76,455
  6. Step 6: Final answer
    x = 182,401.21

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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.