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Finding the Third Proportional to 57,349.50 and 118,731

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Solution

The third proportional to 57,349.50 and 118,731 is: 245,809.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,349.50 : 118,731 = 118,731 : x
  2. Step 2: Convert to fraction form
    57,349.50/118,731 = 118,731/x
  3. Step 3: Cross multiply
    57,349.50x = 118,731 × 118,731
  4. Step 4: Simplify right side
    57,349.50x = 14,097,050,361
  5. Step 5: Solve for x
    x = 14,097,050,361/57,349.50
  6. Step 6: Final answer
    x = 245,809.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.