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Finding the Third Proportional to 122,889 and 183,564

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Solution

The third proportional to 122,889 and 183,564 is: 274,196.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,889 : 183,564 = 183,564 : x
  2. Step 2: Convert to fraction form
    122,889/183,564 = 183,564/x
  3. Step 3: Cross multiply
    122,889x = 183,564 × 183,564
  4. Step 4: Simplify right side
    122,889x = 33,695,742,096
  5. Step 5: Solve for x
    x = 33,695,742,096/122,889
  6. Step 6: Final answer
    x = 274,196.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.