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Finding the Third Proportional to 103,502 and 158,271

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Solution

The third proportional to 103,502 and 158,271 is: 242,021.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,502 : 158,271 = 158,271 : x
  2. Step 2: Convert to fraction form
    103,502/158,271 = 158,271/x
  3. Step 3: Cross multiply
    103,502x = 158,271 × 158,271
  4. Step 4: Simplify right side
    103,502x = 25,049,709,441
  5. Step 5: Solve for x
    x = 25,049,709,441/103,502
  6. Step 6: Final answer
    x = 242,021.50

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.