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Finding the Third Proportional to 98,987.63 and 141,039

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Solution

The third proportional to 98,987.63 and 141,039 is: 200,954.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,987.63 : 141,039 = 141,039 : x
  2. Step 2: Convert to fraction form
    98,987.63/141,039 = 141,039/x
  3. Step 3: Cross multiply
    98,987.63x = 141,039 × 141,039
  4. Step 4: Simplify right side
    98,987.63x = 19,891,999,521
  5. Step 5: Solve for x
    x = 19,891,999,521/98,987.63
  6. Step 6: Final answer
    x = 200,954.41

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.