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Finding the Third Proportional to 92,994 and 142,650

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Solution

The third proportional to 92,994 and 142,650 is: 218,820.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,994 : 142,650 = 142,650 : x
  2. Step 2: Convert to fraction form
    92,994/142,650 = 142,650/x
  3. Step 3: Cross multiply
    92,994x = 142,650 × 142,650
  4. Step 4: Simplify right side
    92,994x = 20,349,022,500
  5. Step 5: Solve for x
    x = 20,349,022,500/92,994
  6. Step 6: Final answer
    x = 218,820.81

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