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Finding the Third Proportional to 86,011.50 and 126,488

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Solution

The third proportional to 86,011.50 and 126,488 is: 186,012.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,011.50 : 126,488 = 126,488 : x
  2. Step 2: Convert to fraction form
    86,011.50/126,488 = 126,488/x
  3. Step 3: Cross multiply
    86,011.50x = 126,488 × 126,488
  4. Step 4: Simplify right side
    86,011.50x = 15,999,214,144
  5. Step 5: Solve for x
    x = 15,999,214,144/86,011.50
  6. Step 6: Final answer
    x = 186,012.50

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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.