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Finding the Third Proportional to 98,026 and 155,302

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Solution

The third proportional to 98,026 and 155,302 is: 246,044.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,026 : 155,302 = 155,302 : x
  2. Step 2: Convert to fraction form
    98,026/155,302 = 155,302/x
  3. Step 3: Cross multiply
    98,026x = 155,302 × 155,302
  4. Step 4: Simplify right side
    98,026x = 24,118,711,204
  5. Step 5: Solve for x
    x = 24,118,711,204/98,026
  6. Step 6: Final answer
    x = 246,044.02

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.