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Finding the Third Proportional to 50,088 and 70,029

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Solution

The third proportional to 50,088 and 70,029 is: 97,908.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,088 : 70,029 = 70,029 : x
  2. Step 2: Convert to fraction form
    50,088/70,029 = 70,029/x
  3. Step 3: Cross multiply
    50,088x = 70,029 × 70,029
  4. Step 4: Simplify right side
    50,088x = 4,904,060,841
  5. Step 5: Solve for x
    x = 4,904,060,841/50,088
  6. Step 6: Final answer
    x = 97,908.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.