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Finding the Third Proportional to 92,180 and 142,590

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Solution

The third proportional to 92,180 and 142,590 is: 220,567.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,180 : 142,590 = 142,590 : x
  2. Step 2: Convert to fraction form
    92,180/142,590 = 142,590/x
  3. Step 3: Cross multiply
    92,180x = 142,590 × 142,590
  4. Step 4: Simplify right side
    92,180x = 20,331,908,100
  5. Step 5: Solve for x
    x = 20,331,908,100/92,180
  6. Step 6: Final answer
    x = 220,567.46

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.