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Finding the Third Proportional to 138,033 and 292,749.75

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Solution

The third proportional to 138,033 and 292,749.75 is: 620,883.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,033 : 292,749.75 = 292,749.75 : x
  2. Step 2: Convert to fraction form
    138,033/292,749.75 = 292,749.75/x
  3. Step 3: Cross multiply
    138,033x = 292,749.75 × 292,749.75
  4. Step 4: Simplify right side
    138,033x = 85,702,416,125.06
  5. Step 5: Solve for x
    x = 85,702,416,125.06/138,033
  6. Step 6: Final answer
    x = 620,883.53

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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.