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Finding the Third Proportional to 69,284 and 145,534

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Solution

The third proportional to 69,284 and 145,534 is: 305,700.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,284 : 145,534 = 145,534 : x
  2. Step 2: Convert to fraction form
    69,284/145,534 = 145,534/x
  3. Step 3: Cross multiply
    69,284x = 145,534 × 145,534
  4. Step 4: Simplify right side
    69,284x = 21,180,145,156
  5. Step 5: Solve for x
    x = 21,180,145,156/69,284
  6. Step 6: Final answer
    x = 305,700.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.