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Finding the Third Proportional to 124,683.75 and 264,903.75

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Solution

The third proportional to 124,683.75 and 264,903.75 is: 562,815.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,683.75 : 264,903.75 = 264,903.75 : x
  2. Step 2: Convert to fraction form
    124,683.75/264,903.75 = 264,903.75/x
  3. Step 3: Cross multiply
    124,683.75x = 264,903.75 × 264,903.75
  4. Step 4: Simplify right side
    124,683.75x = 70,173,996,764.06
  5. Step 5: Solve for x
    x = 70,173,996,764.06/124,683.75
  6. Step 6: Final answer
    x = 562,815.90

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