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Finding the Third Proportional to 35,154 and 77,508

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Solution

The third proportional to 35,154 and 77,508 is: 170,890.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,154 : 77,508 = 77,508 : x
  2. Step 2: Convert to fraction form
    35,154/77,508 = 77,508/x
  3. Step 3: Cross multiply
    35,154x = 77,508 × 77,508
  4. Step 4: Simplify right side
    35,154x = 6,007,490,064
  5. Step 5: Solve for x
    x = 6,007,490,064/35,154
  6. Step 6: Final answer
    x = 170,890.65

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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.