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Finding the Third Proportional to 53,257.50 and 72,110.25

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Solution

The third proportional to 53,257.50 and 72,110.25 is: 97,636.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,257.50 : 72,110.25 = 72,110.25 : x
  2. Step 2: Convert to fraction form
    53,257.50/72,110.25 = 72,110.25/x
  3. Step 3: Cross multiply
    53,257.50x = 72,110.25 × 72,110.25
  4. Step 4: Simplify right side
    53,257.50x = 5,199,888,155.06
  5. Step 5: Solve for x
    x = 5,199,888,155.06/53,257.50
  6. Step 6: Final answer
    x = 97,636.73

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.