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Finding the Third Proportional to 122,875.50 and 260,619

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Solution

The third proportional to 122,875.50 and 260,619 is: 552,773.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,875.50 : 260,619 = 260,619 : x
  2. Step 2: Convert to fraction form
    122,875.50/260,619 = 260,619/x
  3. Step 3: Cross multiply
    122,875.50x = 260,619 × 260,619
  4. Step 4: Simplify right side
    122,875.50x = 67,922,263,161
  5. Step 5: Solve for x
    x = 67,922,263,161/122,875.50
  6. Step 6: Final answer
    x = 552,773.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.