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Finding the Third Proportional to 53,309.81 and 114,000.75

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Solution

The third proportional to 53,309.81 and 114,000.75 is: 243,785.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,309.81 : 114,000.75 = 114,000.75 : x
  2. Step 2: Convert to fraction form
    53,309.81/114,000.75 = 114,000.75/x
  3. Step 3: Cross multiply
    53,309.81x = 114,000.75 × 114,000.75
  4. Step 4: Simplify right side
    53,309.81x = 12,996,171,000.56
  5. Step 5: Solve for x
    x = 12,996,171,000.56/53,309.81
  6. Step 6: Final answer
    x = 243,785.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.