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Finding the Third Proportional to 70,106 and 153,820

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Solution

The third proportional to 70,106 and 153,820 is: 337,497.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,106 : 153,820 = 153,820 : x
  2. Step 2: Convert to fraction form
    70,106/153,820 = 153,820/x
  3. Step 3: Cross multiply
    70,106x = 153,820 × 153,820
  4. Step 4: Simplify right side
    70,106x = 23,660,592,400
  5. Step 5: Solve for x
    x = 23,660,592,400/70,106
  6. Step 6: Final answer
    x = 337,497.40

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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.