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Finding the Third Proportional to 122,086.75 and 253,530.50

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Solution

The third proportional to 122,086.75 and 253,530.50 is: 526,492.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,086.75 : 253,530.50 = 253,530.50 : x
  2. Step 2: Convert to fraction form
    122,086.75/253,530.50 = 253,530.50/x
  3. Step 3: Cross multiply
    122,086.75x = 253,530.50 × 253,530.50
  4. Step 4: Simplify right side
    122,086.75x = 64,277,714,430.25
  5. Step 5: Solve for x
    x = 64,277,714,430.25/122,086.75
  6. Step 6: Final answer
    x = 526,492.14

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.