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Finding the Third Proportional to 122,907 and 183,577.50

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Solution

The third proportional to 122,907 and 183,577.50 is: 274,196.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,907 : 183,577.50 = 183,577.50 : x
  2. Step 2: Convert to fraction form
    122,907/183,577.50 = 183,577.50/x
  3. Step 3: Cross multiply
    122,907x = 183,577.50 × 183,577.50
  4. Step 4: Simplify right side
    122,907x = 33,700,698,506.25
  5. Step 5: Solve for x
    x = 33,700,698,506.25/122,907
  6. Step 6: Final answer
    x = 274,196.74

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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.