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Finding the Third Proportional to 85,873.50 and 134,048.25

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Solution

The third proportional to 85,873.50 and 134,048.25 is: 209,248.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,873.50 : 134,048.25 = 134,048.25 : x
  2. Step 2: Convert to fraction form
    85,873.50/134,048.25 = 134,048.25/x
  3. Step 3: Cross multiply
    85,873.50x = 134,048.25 × 134,048.25
  4. Step 4: Simplify right side
    85,873.50x = 17,968,933,328.06
  5. Step 5: Solve for x
    x = 17,968,933,328.06/85,873.50
  6. Step 6: Final answer
    x = 209,248.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.