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Finding the Third Proportional to 124,455.38 and 292,546.69

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Solution

The third proportional to 124,455.38 and 292,546.69 is: 687,664.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,455.38 : 292,546.69 = 292,546.69 : x
  2. Step 2: Convert to fraction form
    124,455.38/292,546.69 = 292,546.69/x
  3. Step 3: Cross multiply
    124,455.38x = 292,546.69 × 292,546.69
  4. Step 4: Simplify right side
    124,455.38x = 85,583,564,367.22
  5. Step 5: Solve for x
    x = 85,583,564,367.22/124,455.38
  6. Step 6: Final answer
    x = 687,664.67

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.