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Finding the Third Proportional to 69,076 and 143,066

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Solution

The third proportional to 69,076 and 143,066 is: 296,309.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,076 : 143,066 = 143,066 : x
  2. Step 2: Convert to fraction form
    69,076/143,066 = 143,066/x
  3. Step 3: Cross multiply
    69,076x = 143,066 × 143,066
  4. Step 4: Simplify right side
    69,076x = 20,467,880,356
  5. Step 5: Solve for x
    x = 20,467,880,356/69,076
  6. Step 6: Final answer
    x = 296,309.58

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.