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Finding the Third Proportional to 53,904 and 83,088

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Solution

The third proportional to 53,904 and 83,088 is: 128,072.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,904 : 83,088 = 83,088 : x
  2. Step 2: Convert to fraction form
    53,904/83,088 = 83,088/x
  3. Step 3: Cross multiply
    53,904x = 83,088 × 83,088
  4. Step 4: Simplify right side
    53,904x = 6,903,615,744
  5. Step 5: Solve for x
    x = 6,903,615,744/53,904
  6. Step 6: Final answer
    x = 128,072.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.