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Finding the Third Proportional to 32,165.75 and 70,875.75

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Solution

The third proportional to 32,165.75 and 70,875.75 is: 156,171.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,165.75 : 70,875.75 = 70,875.75 : x
  2. Step 2: Convert to fraction form
    32,165.75/70,875.75 = 70,875.75/x
  3. Step 3: Cross multiply
    32,165.75x = 70,875.75 × 70,875.75
  4. Step 4: Simplify right side
    32,165.75x = 5,023,371,938.06
  5. Step 5: Solve for x
    x = 5,023,371,938.06/32,165.75
  6. Step 6: Final answer
    x = 156,171.45

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