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Finding the Third Proportional to 52,964 and 113,300

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Solution

The third proportional to 52,964 and 113,300 is: 242,370.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,964 : 113,300 = 113,300 : x
  2. Step 2: Convert to fraction form
    52,964/113,300 = 113,300/x
  3. Step 3: Cross multiply
    52,964x = 113,300 × 113,300
  4. Step 4: Simplify right side
    52,964x = 12,836,890,000
  5. Step 5: Solve for x
    x = 12,836,890,000/52,964
  6. Step 6: Final answer
    x = 242,370.10

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.