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Finding the Third Proportional to 57,536 and 77,735

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Solution

The third proportional to 57,536 and 77,735 is: 105,025.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,536 : 77,735 = 77,735 : x
  2. Step 2: Convert to fraction form
    57,536/77,735 = 77,735/x
  3. Step 3: Cross multiply
    57,536x = 77,735 × 77,735
  4. Step 4: Simplify right side
    57,536x = 6,042,730,225
  5. Step 5: Solve for x
    x = 6,042,730,225/57,536
  6. Step 6: Final answer
    x = 105,025.21

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.