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Finding the Third Proportional to 53,457 and 85,896

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Solution

The third proportional to 53,457 and 85,896 is: 138,019.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,457 : 85,896 = 85,896 : x
  2. Step 2: Convert to fraction form
    53,457/85,896 = 85,896/x
  3. Step 3: Cross multiply
    53,457x = 85,896 × 85,896
  4. Step 4: Simplify right side
    53,457x = 7,378,122,816
  5. Step 5: Solve for x
    x = 7,378,122,816/53,457
  6. Step 6: Final answer
    x = 138,019.77

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.