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Finding the Third Proportional to 59,097 and 127,590

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Solution

The third proportional to 59,097 and 127,590 is: 275,465.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,097 : 127,590 = 127,590 : x
  2. Step 2: Convert to fraction form
    59,097/127,590 = 127,590/x
  3. Step 3: Cross multiply
    59,097x = 127,590 × 127,590
  4. Step 4: Simplify right side
    59,097x = 16,279,208,100
  5. Step 5: Solve for x
    x = 16,279,208,100/59,097
  6. Step 6: Final answer
    x = 275,465.90

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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.