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Finding the Third Proportional to 92,932 and 140,550

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Solution

The third proportional to 92,932 and 140,550 is: 212,567.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,932 : 140,550 = 140,550 : x
  2. Step 2: Convert to fraction form
    92,932/140,550 = 140,550/x
  3. Step 3: Cross multiply
    92,932x = 140,550 × 140,550
  4. Step 4: Simplify right side
    92,932x = 19,754,302,500
  5. Step 5: Solve for x
    x = 19,754,302,500/92,932
  6. Step 6: Final answer
    x = 212,567.28

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.