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Finding the Third Proportional to 86,265.75 and 126,497.63

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Solution

The third proportional to 86,265.75 and 126,497.63 is: 185,492.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,265.75 : 126,497.63 = 126,497.63 : x
  2. Step 2: Convert to fraction form
    86,265.75/126,497.63 = 126,497.63/x
  3. Step 3: Cross multiply
    86,265.75x = 126,497.63 × 126,497.63
  4. Step 4: Simplify right side
    86,265.75x = 16,001,649,130.64
  5. Step 5: Solve for x
    x = 16,001,649,130.64/86,265.75
  6. Step 6: Final answer
    x = 185,492.49

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.