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Finding the Third Proportional to 76,653 and 119,634

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Solution

The third proportional to 76,653 and 119,634 is: 186,715.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,653 : 119,634 = 119,634 : x
  2. Step 2: Convert to fraction form
    76,653/119,634 = 119,634/x
  3. Step 3: Cross multiply
    76,653x = 119,634 × 119,634
  4. Step 4: Simplify right side
    76,653x = 14,312,293,956
  5. Step 5: Solve for x
    x = 14,312,293,956/76,653
  6. Step 6: Final answer
    x = 186,715.38

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.