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Finding the Third Proportional to 43,712 and 90,534

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Solution

The third proportional to 43,712 and 90,534 is: 187,509.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,712 : 90,534 = 90,534 : x
  2. Step 2: Convert to fraction form
    43,712/90,534 = 90,534/x
  3. Step 3: Cross multiply
    43,712x = 90,534 × 90,534
  4. Step 4: Simplify right side
    43,712x = 8,196,405,156
  5. Step 5: Solve for x
    x = 8,196,405,156/43,712
  6. Step 6: Final answer
    x = 187,509.27

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.