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Finding the Third Proportional to 103,616 and 152,025

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Solution

The third proportional to 103,616 and 152,025 is: 223,050.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,616 : 152,025 = 152,025 : x
  2. Step 2: Convert to fraction form
    103,616/152,025 = 152,025/x
  3. Step 3: Cross multiply
    103,616x = 152,025 × 152,025
  4. Step 4: Simplify right side
    103,616x = 23,111,600,625
  5. Step 5: Solve for x
    x = 23,111,600,625/103,616
  6. Step 6: Final answer
    x = 223,050.50

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.