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Finding the Third Proportional to 98,050.13 and 138,074.25

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Solution

The third proportional to 98,050.13 and 138,074.25 is: 194,436.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,050.13 : 138,074.25 = 138,074.25 : x
  2. Step 2: Convert to fraction form
    98,050.13/138,074.25 = 138,074.25/x
  3. Step 3: Cross multiply
    98,050.13x = 138,074.25 × 138,074.25
  4. Step 4: Simplify right side
    98,050.13x = 19,064,498,513.06
  5. Step 5: Solve for x
    x = 19,064,498,513.06/98,050.13
  6. Step 6: Final answer
    x = 194,436.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.