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Finding the Third Proportional to 124,071.75 and 262,768.50

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Solution

The third proportional to 124,071.75 and 262,768.50 is: 556,510.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,071.75 : 262,768.50 = 262,768.50 : x
  2. Step 2: Convert to fraction form
    124,071.75/262,768.50 = 262,768.50/x
  3. Step 3: Cross multiply
    124,071.75x = 262,768.50 × 262,768.50
  4. Step 4: Simplify right side
    124,071.75x = 69,047,284,592.25
  5. Step 5: Solve for x
    x = 69,047,284,592.25/124,071.75
  6. Step 6: Final answer
    x = 556,510.93

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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.