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Finding the Third Proportional to 95,503.50 and 145,442.25

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Solution

The third proportional to 95,503.50 and 145,442.25 is: 221,493.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,503.50 : 145,442.25 = 145,442.25 : x
  2. Step 2: Convert to fraction form
    95,503.50/145,442.25 = 145,442.25/x
  3. Step 3: Cross multiply
    95,503.50x = 145,442.25 × 145,442.25
  4. Step 4: Simplify right side
    95,503.50x = 21,153,448,085.06
  5. Step 5: Solve for x
    x = 21,153,448,085.06/95,503.50
  6. Step 6: Final answer
    x = 221,493.96

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.