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Finding the Third Proportional to 44,672 and 97,120

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Solution

The third proportional to 44,672 and 97,120 is: 211,145.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,672 : 97,120 = 97,120 : x
  2. Step 2: Convert to fraction form
    44,672/97,120 = 97,120/x
  3. Step 3: Cross multiply
    44,672x = 97,120 × 97,120
  4. Step 4: Simplify right side
    44,672x = 9,432,294,400
  5. Step 5: Solve for x
    x = 9,432,294,400/44,672
  6. Step 6: Final answer
    x = 211,145.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.