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Finding the Third Proportional to 70,047 and 153,702

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Solution

The third proportional to 70,047 and 153,702 is: 337,263.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,047 : 153,702 = 153,702 : x
  2. Step 2: Convert to fraction form
    70,047/153,702 = 153,702/x
  3. Step 3: Cross multiply
    70,047x = 153,702 × 153,702
  4. Step 4: Simplify right side
    70,047x = 23,624,304,804
  5. Step 5: Solve for x
    x = 23,624,304,804/70,047
  6. Step 6: Final answer
    x = 337,263.62

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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.