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Finding the Third Proportional to 70,152 and 153,924

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Solution

The third proportional to 70,152 and 153,924 is: 337,732.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,152 : 153,924 = 153,924 : x
  2. Step 2: Convert to fraction form
    70,152/153,924 = 153,924/x
  3. Step 3: Cross multiply
    70,152x = 153,924 × 153,924
  4. Step 4: Simplify right side
    70,152x = 23,692,597,776
  5. Step 5: Solve for x
    x = 23,692,597,776/70,152
  6. Step 6: Final answer
    x = 337,732.32

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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.