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Finding the Third Proportional to 70,050 and 153,708

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Solution

The third proportional to 70,050 and 153,708 is: 337,275.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,050 : 153,708 = 153,708 : x
  2. Step 2: Convert to fraction form
    70,050/153,708 = 153,708/x
  3. Step 3: Cross multiply
    70,050x = 153,708 × 153,708
  4. Step 4: Simplify right side
    70,050x = 23,626,149,264
  5. Step 5: Solve for x
    x = 23,626,149,264/70,050
  6. Step 6: Final answer
    x = 337,275.51

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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.