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Finding the Third Proportional to 82,875.56 and 127,459.69

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Solution

The third proportional to 82,875.56 and 127,459.69 is: 196,028.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,875.56 : 127,459.69 = 127,459.69 : x
  2. Step 2: Convert to fraction form
    82,875.56/127,459.69 = 127,459.69/x
  3. Step 3: Cross multiply
    82,875.56x = 127,459.69 × 127,459.69
  4. Step 4: Simplify right side
    82,875.56x = 16,245,971,937.60
  5. Step 5: Solve for x
    x = 16,245,971,937.60/82,875.56
  6. Step 6: Final answer
    x = 196,028.50

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