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Finding the Third Proportional to 50,026 and 70,358

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Solution

The third proportional to 50,026 and 70,358 is: 98,953.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,026 : 70,358 = 70,358 : x
  2. Step 2: Convert to fraction form
    50,026/70,358 = 70,358/x
  3. Step 3: Cross multiply
    50,026x = 70,358 × 70,358
  4. Step 4: Simplify right side
    50,026x = 4,950,248,164
  5. Step 5: Solve for x
    x = 4,950,248,164/50,026
  6. Step 6: Final answer
    x = 98,953.51

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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.