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Finding the Third Proportional to 30,207 and 65,598

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Solution

The third proportional to 30,207 and 65,598 is: 142,453.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,207 : 65,598 = 65,598 : x
  2. Step 2: Convert to fraction form
    30,207/65,598 = 65,598/x
  3. Step 3: Cross multiply
    30,207x = 65,598 × 65,598
  4. Step 4: Simplify right side
    30,207x = 4,303,097,604
  5. Step 5: Solve for x
    x = 4,303,097,604/30,207
  6. Step 6: Final answer
    x = 142,453.66

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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.