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Finding the Third Proportional to 53,212.50 and 83,491.50

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Solution

The third proportional to 53,212.50 and 83,491.50 is: 130,999.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,212.50 : 83,491.50 = 83,491.50 : x
  2. Step 2: Convert to fraction form
    53,212.50/83,491.50 = 83,491.50/x
  3. Step 3: Cross multiply
    53,212.50x = 83,491.50 × 83,491.50
  4. Step 4: Simplify right side
    53,212.50x = 6,970,830,572.25
  5. Step 5: Solve for x
    x = 6,970,830,572.25/53,212.50
  6. Step 6: Final answer
    x = 130,999.87

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.