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Finding the Third Proportional to 47,347.50 and 102,039

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Solution

The third proportional to 47,347.50 and 102,039 is: 219,905.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,347.50 : 102,039 = 102,039 : x
  2. Step 2: Convert to fraction form
    47,347.50/102,039 = 102,039/x
  3. Step 3: Cross multiply
    47,347.50x = 102,039 × 102,039
  4. Step 4: Simplify right side
    47,347.50x = 10,411,957,521
  5. Step 5: Solve for x
    x = 10,411,957,521/47,347.50
  6. Step 6: Final answer
    x = 219,905.12

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.