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Finding the Third Proportional to 35,148 and 77,208

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Solution

The third proportional to 35,148 and 77,208 is: 169,599.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,148 : 77,208 = 77,208 : x
  2. Step 2: Convert to fraction form
    35,148/77,208 = 77,208/x
  3. Step 3: Cross multiply
    35,148x = 77,208 × 77,208
  4. Step 4: Simplify right side
    35,148x = 5,961,075,264
  5. Step 5: Solve for x
    x = 5,961,075,264/35,148
  6. Step 6: Final answer
    x = 169,599.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.