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Finding the Third Proportional to 76,097 and 118,293

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Solution

The third proportional to 76,097 and 118,293 is: 183,886.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,097 : 118,293 = 118,293 : x
  2. Step 2: Convert to fraction form
    76,097/118,293 = 118,293/x
  3. Step 3: Cross multiply
    76,097x = 118,293 × 118,293
  4. Step 4: Simplify right side
    76,097x = 13,993,233,849
  5. Step 5: Solve for x
    x = 13,993,233,849/76,097
  6. Step 6: Final answer
    x = 183,886.80

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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.