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Finding the Third Proportional to 116,509.50 and 172,546.88

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Solution

The third proportional to 116,509.50 and 172,546.88 is: 255,536.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,509.50 : 172,546.88 = 172,546.88 : x
  2. Step 2: Convert to fraction form
    116,509.50/172,546.88 = 172,546.88/x
  3. Step 3: Cross multiply
    116,509.50x = 172,546.88 × 172,546.88
  4. Step 4: Simplify right side
    116,509.50x = 29,772,424,072.27
  5. Step 5: Solve for x
    x = 29,772,424,072.27/116,509.50
  6. Step 6: Final answer
    x = 255,536.45

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.