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Finding the Third Proportional to 73,895.63 and 158,878.13

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Solution

The third proportional to 73,895.63 and 158,878.13 is: 341,593.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,895.63 : 158,878.13 = 158,878.13 : x
  2. Step 2: Convert to fraction form
    73,895.63/158,878.13 = 158,878.13/x
  3. Step 3: Cross multiply
    73,895.63x = 158,878.13 × 158,878.13
  4. Step 4: Simplify right side
    73,895.63x = 25,242,258,603.52
  5. Step 5: Solve for x
    x = 25,242,258,603.52/73,895.63
  6. Step 6: Final answer
    x = 341,593.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.