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Finding the Third Proportional to 67,066.50 and 142,128

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Solution

The third proportional to 67,066.50 and 142,128 is: 301,199.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,066.50 : 142,128 = 142,128 : x
  2. Step 2: Convert to fraction form
    67,066.50/142,128 = 142,128/x
  3. Step 3: Cross multiply
    67,066.50x = 142,128 × 142,128
  4. Step 4: Simplify right side
    67,066.50x = 20,200,368,384
  5. Step 5: Solve for x
    x = 20,200,368,384/67,066.50
  6. Step 6: Final answer
    x = 301,199.08

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.