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Finding the Third Proportional to 113,605 and 247,156

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Solution

The third proportional to 113,605 and 247,156 is: 537,705.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,605 : 247,156 = 247,156 : x
  2. Step 2: Convert to fraction form
    113,605/247,156 = 247,156/x
  3. Step 3: Cross multiply
    113,605x = 247,156 × 247,156
  4. Step 4: Simplify right side
    113,605x = 61,086,088,336
  5. Step 5: Solve for x
    x = 61,086,088,336/113,605
  6. Step 6: Final answer
    x = 537,705.98

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.