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Finding the Third Proportional to 76,663 and 105,567

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Solution

The third proportional to 76,663 and 105,567 is: 145,368.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,663 : 105,567 = 105,567 : x
  2. Step 2: Convert to fraction form
    76,663/105,567 = 105,567/x
  3. Step 3: Cross multiply
    76,663x = 105,567 × 105,567
  4. Step 4: Simplify right side
    76,663x = 11,144,391,489
  5. Step 5: Solve for x
    x = 11,144,391,489/76,663
  6. Step 6: Final answer
    x = 145,368.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.