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Finding the Third Proportional to 117,962.50 and 187,630

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Solution

The third proportional to 117,962.50 and 187,630 is: 298,442.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,962.50 : 187,630 = 187,630 : x
  2. Step 2: Convert to fraction form
    117,962.50/187,630 = 187,630/x
  3. Step 3: Cross multiply
    117,962.50x = 187,630 × 187,630
  4. Step 4: Simplify right side
    117,962.50x = 35,205,016,900
  5. Step 5: Solve for x
    x = 35,205,016,900/117,962.50
  6. Step 6: Final answer
    x = 298,442.44

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.