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Finding the Third Proportional to 85,421.14 and 131,476.29

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Solution

The third proportional to 85,421.14 and 131,476.29 is: 202,362.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,421.14 : 131,476.29 = 131,476.29 : x
  2. Step 2: Convert to fraction form
    85,421.14/131,476.29 = 131,476.29/x
  3. Step 3: Cross multiply
    85,421.14x = 131,476.29 × 131,476.29
  4. Step 4: Simplify right side
    85,421.14x = 17,286,014,585.65
  5. Step 5: Solve for x
    x = 17,286,014,585.65/85,421.14
  6. Step 6: Final answer
    x = 202,362.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.