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Finding the Third Proportional to 103,634 and 152,050

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Solution

The third proportional to 103,634 and 152,050 is: 223,085.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,634 : 152,050 = 152,050 : x
  2. Step 2: Convert to fraction form
    103,634/152,050 = 152,050/x
  3. Step 3: Cross multiply
    103,634x = 152,050 × 152,050
  4. Step 4: Simplify right side
    103,634x = 23,119,202,500
  5. Step 5: Solve for x
    x = 23,119,202,500/103,634
  6. Step 6: Final answer
    x = 223,085.11

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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.