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Finding the Third Proportional to 53,425 and 83,054

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Solution

The third proportional to 53,425 and 83,054 is: 129,114.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,425 : 83,054 = 83,054 : x
  2. Step 2: Convert to fraction form
    53,425/83,054 = 83,054/x
  3. Step 3: Cross multiply
    53,425x = 83,054 × 83,054
  4. Step 4: Simplify right side
    53,425x = 6,897,966,916
  5. Step 5: Solve for x
    x = 6,897,966,916/53,425
  6. Step 6: Final answer
    x = 129,114.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.