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Finding the Third Proportional to 70,700 and 152,236

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Solution

The third proportional to 70,700 and 152,236 is: 327,804.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,700 : 152,236 = 152,236 : x
  2. Step 2: Convert to fraction form
    70,700/152,236 = 152,236/x
  3. Step 3: Cross multiply
    70,700x = 152,236 × 152,236
  4. Step 4: Simplify right side
    70,700x = 23,175,799,696
  5. Step 5: Solve for x
    x = 23,175,799,696/70,700
  6. Step 6: Final answer
    x = 327,804.80

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.