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Finding the Third Proportional to 58,696.50 and 83,634

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Solution

The third proportional to 58,696.50 and 83,634 is: 119,166.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,696.50 : 83,634 = 83,634 : x
  2. Step 2: Convert to fraction form
    58,696.50/83,634 = 83,634/x
  3. Step 3: Cross multiply
    58,696.50x = 83,634 × 83,634
  4. Step 4: Simplify right side
    58,696.50x = 6,994,645,956
  5. Step 5: Solve for x
    x = 6,994,645,956/58,696.50
  6. Step 6: Final answer
    x = 119,166.32

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.