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Finding the Third Proportional to 70,362 and 149,360

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Solution

The third proportional to 70,362 and 149,360 is: 317,051.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,362 : 149,360 = 149,360 : x
  2. Step 2: Convert to fraction form
    70,362/149,360 = 149,360/x
  3. Step 3: Cross multiply
    70,362x = 149,360 × 149,360
  4. Step 4: Simplify right side
    70,362x = 22,308,409,600
  5. Step 5: Solve for x
    x = 22,308,409,600/70,362
  6. Step 6: Final answer
    x = 317,051.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.