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Finding the Third Proportional to 70,024 and 153,658

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Solution

The third proportional to 70,024 and 153,658 is: 337,181.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,024 : 153,658 = 153,658 : x
  2. Step 2: Convert to fraction form
    70,024/153,658 = 153,658/x
  3. Step 3: Cross multiply
    70,024x = 153,658 × 153,658
  4. Step 4: Simplify right side
    70,024x = 23,610,780,964
  5. Step 5: Solve for x
    x = 23,610,780,964/70,024
  6. Step 6: Final answer
    x = 337,181.27

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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.