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Finding the Third Proportional to 57,617 and 77,497

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Solution

The third proportional to 57,617 and 77,497 is: 104,236.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,617 : 77,497 = 77,497 : x
  2. Step 2: Convert to fraction form
    57,617/77,497 = 77,497/x
  3. Step 3: Cross multiply
    57,617x = 77,497 × 77,497
  4. Step 4: Simplify right side
    57,617x = 6,005,785,009
  5. Step 5: Solve for x
    x = 6,005,785,009/57,617
  6. Step 6: Final answer
    x = 104,236.34

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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.