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Finding the Third Proportional to 53,069 and 81,457

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Solution

The third proportional to 53,069 and 81,457 is: 125,030.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,069 : 81,457 = 81,457 : x
  2. Step 2: Convert to fraction form
    53,069/81,457 = 81,457/x
  3. Step 3: Cross multiply
    53,069x = 81,457 × 81,457
  4. Step 4: Simplify right side
    53,069x = 6,635,242,849
  5. Step 5: Solve for x
    x = 6,635,242,849/53,069
  6. Step 6: Final answer
    x = 125,030.49

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.