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Finding the Third Proportional to 51,931.13 and 84,790.69

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Solution

The third proportional to 51,931.13 and 84,790.69 is: 138,442.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,931.13 : 84,790.69 = 84,790.69 : x
  2. Step 2: Convert to fraction form
    51,931.13/84,790.69 = 84,790.69/x
  3. Step 3: Cross multiply
    51,931.13x = 84,790.69 × 84,790.69
  4. Step 4: Simplify right side
    51,931.13x = 7,189,460,686.72
  5. Step 5: Solve for x
    x = 7,189,460,686.72/51,931.13
  6. Step 6: Final answer
    x = 138,442.23

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.