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Finding the Third Proportional to 35,509 and 77,054

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Solution

The third proportional to 35,509 and 77,054 is: 167,206.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,509 : 77,054 = 77,054 : x
  2. Step 2: Convert to fraction form
    35,509/77,054 = 77,054/x
  3. Step 3: Cross multiply
    35,509x = 77,054 × 77,054
  4. Step 4: Simplify right side
    35,509x = 5,937,318,916
  5. Step 5: Solve for x
    x = 5,937,318,916/35,509
  6. Step 6: Final answer
    x = 167,206.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.