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Finding the Third Proportional to 70,155.50 and 153,893

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Solution

The third proportional to 70,155.50 and 153,893 is: 337,579.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,155.50 : 153,893 = 153,893 : x
  2. Step 2: Convert to fraction form
    70,155.50/153,893 = 153,893/x
  3. Step 3: Cross multiply
    70,155.50x = 153,893 × 153,893
  4. Step 4: Simplify right side
    70,155.50x = 23,683,055,449
  5. Step 5: Solve for x
    x = 23,683,055,449/70,155.50
  6. Step 6: Final answer
    x = 337,579.45

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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.