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Finding the Third Proportional to 77,584 and 167,044

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Solution

The third proportional to 77,584 and 167,044 is: 359,657.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,584 : 167,044 = 167,044 : x
  2. Step 2: Convert to fraction form
    77,584/167,044 = 167,044/x
  3. Step 3: Cross multiply
    77,584x = 167,044 × 167,044
  4. Step 4: Simplify right side
    77,584x = 27,903,697,936
  5. Step 5: Solve for x
    x = 27,903,697,936/77,584
  6. Step 6: Final answer
    x = 359,657.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.