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Finding the Third Proportional to 51,623.30 and 114,301.27

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Solution

The third proportional to 51,623.30 and 114,301.27 is: 253,079.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,623.30 : 114,301.27 = 114,301.27 : x
  2. Step 2: Convert to fraction form
    51,623.30/114,301.27 = 114,301.27/x
  3. Step 3: Cross multiply
    51,623.30x = 114,301.27 × 114,301.27
  4. Step 4: Simplify right side
    51,623.30x = 13,064,779,323.48
  5. Step 5: Solve for x
    x = 13,064,779,323.48/51,623.30
  6. Step 6: Final answer
    x = 253,079.14

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.