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Finding the Third Proportional to 53,152 and 72,217.50

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Solution

The third proportional to 53,152 and 72,217.50 is: 98,121.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,152 : 72,217.50 = 72,217.50 : x
  2. Step 2: Convert to fraction form
    53,152/72,217.50 = 72,217.50/x
  3. Step 3: Cross multiply
    53,152x = 72,217.50 × 72,217.50
  4. Step 4: Simplify right side
    53,152x = 5,215,367,306.25
  5. Step 5: Solve for x
    x = 5,215,367,306.25/53,152
  6. Step 6: Final answer
    x = 98,121.75

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.