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Finding the Third Proportional to 92,066.63 and 142,170.19

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Solution

The third proportional to 92,066.63 and 142,170.19 is: 219,540.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,066.63 : 142,170.19 = 142,170.19 : x
  2. Step 2: Convert to fraction form
    92,066.63/142,170.19 = 142,170.19/x
  3. Step 3: Cross multiply
    92,066.63x = 142,170.19 × 142,170.19
  4. Step 4: Simplify right side
    92,066.63x = 20,212,362,213.79
  5. Step 5: Solve for x
    x = 20,212,362,213.79/92,066.63
  6. Step 6: Final answer
    x = 219,540.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.