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Finding the Third Proportional to 39,097.13 and 85,970.25

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Solution

The third proportional to 39,097.13 and 85,970.25 is: 189,039.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,097.13 : 85,970.25 = 85,970.25 : x
  2. Step 2: Convert to fraction form
    39,097.13/85,970.25 = 85,970.25/x
  3. Step 3: Cross multiply
    39,097.13x = 85,970.25 × 85,970.25
  4. Step 4: Simplify right side
    39,097.13x = 7,390,883,885.06
  5. Step 5: Solve for x
    x = 7,390,883,885.06/39,097.13
  6. Step 6: Final answer
    x = 189,039.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.