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Finding the Third Proportional to 98,771 and 141,141

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Solution

The third proportional to 98,771 and 141,141 is: 201,686.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,771 : 141,141 = 141,141 : x
  2. Step 2: Convert to fraction form
    98,771/141,141 = 141,141/x
  3. Step 3: Cross multiply
    98,771x = 141,141 × 141,141
  4. Step 4: Simplify right side
    98,771x = 19,920,781,881
  5. Step 5: Solve for x
    x = 19,920,781,881/98,771
  6. Step 6: Final answer
    x = 201,686.55

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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.