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Finding the Third Proportional to 53,427.94 and 114,006.94

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Solution

The third proportional to 53,427.94 and 114,006.94 is: 243,273.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,427.94 : 114,006.94 = 114,006.94 : x
  2. Step 2: Convert to fraction form
    53,427.94/114,006.94 = 114,006.94/x
  3. Step 3: Cross multiply
    53,427.94x = 114,006.94 × 114,006.94
  4. Step 4: Simplify right side
    53,427.94x = 12,997,581,798.13
  5. Step 5: Solve for x
    x = 12,997,581,798.13/53,427.94
  6. Step 6: Final answer
    x = 243,273.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.