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Finding the Third Proportional to 58,620 and 127,104

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Solution

The third proportional to 58,620 and 127,104 is: 275,595.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,620 : 127,104 = 127,104 : x
  2. Step 2: Convert to fraction form
    58,620/127,104 = 127,104/x
  3. Step 3: Cross multiply
    58,620x = 127,104 × 127,104
  4. Step 4: Simplify right side
    58,620x = 16,155,426,816
  5. Step 5: Solve for x
    x = 16,155,426,816/58,620
  6. Step 6: Final answer
    x = 275,595.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.