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Finding the Third Proportional to 52,952.50 and 113,583

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Solution

The third proportional to 52,952.50 and 113,583 is: 243,635.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,952.50 : 113,583 = 113,583 : x
  2. Step 2: Convert to fraction form
    52,952.50/113,583 = 113,583/x
  3. Step 3: Cross multiply
    52,952.50x = 113,583 × 113,583
  4. Step 4: Simplify right side
    52,952.50x = 12,901,097,889
  5. Step 5: Solve for x
    x = 12,901,097,889/52,952.50
  6. Step 6: Final answer
    x = 243,635.29

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Why These Related Problems?

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