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Finding the Third Proportional to 53,232 and 116,670

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Solution

The third proportional to 53,232 and 116,670 is: 255,708.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,232 : 116,670 = 116,670 : x
  2. Step 2: Convert to fraction form
    53,232/116,670 = 116,670/x
  3. Step 3: Cross multiply
    53,232x = 116,670 × 116,670
  4. Step 4: Simplify right side
    53,232x = 13,611,888,900
  5. Step 5: Solve for x
    x = 13,611,888,900/53,232
  6. Step 6: Final answer
    x = 255,708.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.