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Finding the Third Proportional to 30,165 and 64,955

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Solution

The third proportional to 30,165 and 64,955 is: 139,869.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,165 : 64,955 = 64,955 : x
  2. Step 2: Convert to fraction form
    30,165/64,955 = 64,955/x
  3. Step 3: Cross multiply
    30,165x = 64,955 × 64,955
  4. Step 4: Simplify right side
    30,165x = 4,219,152,025
  5. Step 5: Solve for x
    x = 4,219,152,025/30,165
  6. Step 6: Final answer
    x = 139,869.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.