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Finding the Third Proportional to 70,064 and 153,754

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Solution

The third proportional to 70,064 and 153,754 is: 337,409.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,064 : 153,754 = 153,754 : x
  2. Step 2: Convert to fraction form
    70,064/153,754 = 153,754/x
  3. Step 3: Cross multiply
    70,064x = 153,754 × 153,754
  4. Step 4: Simplify right side
    70,064x = 23,640,292,516
  5. Step 5: Solve for x
    x = 23,640,292,516/70,064
  6. Step 6: Final answer
    x = 337,409.98

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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.