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Finding the Third Proportional to 53,313 and 114,006

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Solution

The third proportional to 53,313 and 114,006 is: 243,793.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,313 : 114,006 = 114,006 : x
  2. Step 2: Convert to fraction form
    53,313/114,006 = 114,006/x
  3. Step 3: Cross multiply
    53,313x = 114,006 × 114,006
  4. Step 4: Simplify right side
    53,313x = 12,997,368,036
  5. Step 5: Solve for x
    x = 12,997,368,036/53,313
  6. Step 6: Final answer
    x = 243,793.60

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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.