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Finding the Third Proportional to 97,171.31 and 142,975.13

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Solution

The third proportional to 97,171.31 and 142,975.13 is: 210,369.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,171.31 : 142,975.13 = 142,975.13 : x
  2. Step 2: Convert to fraction form
    97,171.31/142,975.13 = 142,975.13/x
  3. Step 3: Cross multiply
    97,171.31x = 142,975.13 × 142,975.13
  4. Step 4: Simplify right side
    97,171.31x = 20,441,886,368.77
  5. Step 5: Solve for x
    x = 20,441,886,368.77/97,171.31
  6. Step 6: Final answer
    x = 210,369.56

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.