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Finding the Third Proportional to 53,033.50 and 114,365

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Solution

The third proportional to 53,033.50 and 114,365 is: 246,624.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,033.50 : 114,365 = 114,365 : x
  2. Step 2: Convert to fraction form
    53,033.50/114,365 = 114,365/x
  3. Step 3: Cross multiply
    53,033.50x = 114,365 × 114,365
  4. Step 4: Simplify right side
    53,033.50x = 13,079,353,225
  5. Step 5: Solve for x
    x = 13,079,353,225/53,033.50
  6. Step 6: Final answer
    x = 246,624.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.