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Finding the Third Proportional to 120,730 and 183,102

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Solution

The third proportional to 120,730 and 183,102 is: 277,696.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,730 : 183,102 = 183,102 : x
  2. Step 2: Convert to fraction form
    120,730/183,102 = 183,102/x
  3. Step 3: Cross multiply
    120,730x = 183,102 × 183,102
  4. Step 4: Simplify right side
    120,730x = 33,526,342,404
  5. Step 5: Solve for x
    x = 33,526,342,404/120,730
  6. Step 6: Final answer
    x = 277,696.86

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.