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Finding the Third Proportional to 92,276 and 144,563

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Solution

The third proportional to 92,276 and 144,563 is: 226,477.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,276 : 144,563 = 144,563 : x
  2. Step 2: Convert to fraction form
    92,276/144,563 = 144,563/x
  3. Step 3: Cross multiply
    92,276x = 144,563 × 144,563
  4. Step 4: Simplify right side
    92,276x = 20,898,460,969
  5. Step 5: Solve for x
    x = 20,898,460,969/92,276
  6. Step 6: Final answer
    x = 226,477.75

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.