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Finding the Third Proportional to 30,169 and 64,346

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Solution

The third proportional to 30,169 and 64,346 is: 137,240.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,169 : 64,346 = 64,346 : x
  2. Step 2: Convert to fraction form
    30,169/64,346 = 64,346/x
  3. Step 3: Cross multiply
    30,169x = 64,346 × 64,346
  4. Step 4: Simplify right side
    30,169x = 4,140,407,716
  5. Step 5: Solve for x
    x = 4,140,407,716/30,169
  6. Step 6: Final answer
    x = 137,240.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.