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Finding the Third Proportional to 53,037 and 111,526.88

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Solution

The third proportional to 53,037 and 111,526.88 is: 234,520.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,037 : 111,526.88 = 111,526.88 : x
  2. Step 2: Convert to fraction form
    53,037/111,526.88 = 111,526.88/x
  3. Step 3: Cross multiply
    53,037x = 111,526.88 × 111,526.88
  4. Step 4: Simplify right side
    53,037x = 12,438,243,847.27
  5. Step 5: Solve for x
    x = 12,438,243,847.27/53,037
  6. Step 6: Final answer
    x = 234,520.12

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.