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Finding the Third Proportional to 32,919 and 72,090

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Solution

The third proportional to 32,919 and 72,090 is: 157,871.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,919 : 72,090 = 72,090 : x
  2. Step 2: Convert to fraction form
    32,919/72,090 = 72,090/x
  3. Step 3: Cross multiply
    32,919x = 72,090 × 72,090
  4. Step 4: Simplify right side
    32,919x = 5,196,968,100
  5. Step 5: Solve for x
    x = 5,196,968,100/32,919
  6. Step 6: Final answer
    x = 157,871.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.