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Finding the Third Proportional to 70,059 and 153,726

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Solution

The third proportional to 70,059 and 153,726 is: 337,311.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,059 : 153,726 = 153,726 : x
  2. Step 2: Convert to fraction form
    70,059/153,726 = 153,726/x
  3. Step 3: Cross multiply
    70,059x = 153,726 × 153,726
  4. Step 4: Simplify right side
    70,059x = 23,631,683,076
  5. Step 5: Solve for x
    x = 23,631,683,076/70,059
  6. Step 6: Final answer
    x = 337,311.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.