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Finding the Third Proportional to 122,486 and 183,730

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Solution

The third proportional to 122,486 and 183,730 is: 275,596.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,486 : 183,730 = 183,730 : x
  2. Step 2: Convert to fraction form
    122,486/183,730 = 183,730/x
  3. Step 3: Cross multiply
    122,486x = 183,730 × 183,730
  4. Step 4: Simplify right side
    122,486x = 33,756,712,900
  5. Step 5: Solve for x
    x = 33,756,712,900/122,486
  6. Step 6: Final answer
    x = 275,596.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.