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Finding the Third Proportional to 53,051 and 72,092

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Solution

The third proportional to 53,051 and 72,092 is: 97,967.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,051 : 72,092 = 72,092 : x
  2. Step 2: Convert to fraction form
    53,051/72,092 = 72,092/x
  3. Step 3: Cross multiply
    53,051x = 72,092 × 72,092
  4. Step 4: Simplify right side
    53,051x = 5,197,256,464
  5. Step 5: Solve for x
    x = 5,197,256,464/53,051
  6. Step 6: Final answer
    x = 97,967.17

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