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Finding the Third Proportional to 98,725 and 141,079

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Solution

The third proportional to 98,725 and 141,079 is: 201,603.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,725 : 141,079 = 141,079 : x
  2. Step 2: Convert to fraction form
    98,725/141,079 = 141,079/x
  3. Step 3: Cross multiply
    98,725x = 141,079 × 141,079
  4. Step 4: Simplify right side
    98,725x = 19,903,284,241
  5. Step 5: Solve for x
    x = 19,903,284,241/98,725
  6. Step 6: Final answer
    x = 201,603.28

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.