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Finding the Third Proportional to 56,501 and 76,735

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Solution

The third proportional to 56,501 and 76,735 is: 104,215.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,501 : 76,735 = 76,735 : x
  2. Step 2: Convert to fraction form
    56,501/76,735 = 76,735/x
  3. Step 3: Cross multiply
    56,501x = 76,735 × 76,735
  4. Step 4: Simplify right side
    56,501x = 5,888,260,225
  5. Step 5: Solve for x
    x = 5,888,260,225/56,501
  6. Step 6: Final answer
    x = 104,215.15

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.