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Finding the Third Proportional to 40,534 and 64,754

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Solution

The third proportional to 40,534 and 64,754 is: 103,446.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,534 : 64,754 = 64,754 : x
  2. Step 2: Convert to fraction form
    40,534/64,754 = 64,754/x
  3. Step 3: Cross multiply
    40,534x = 64,754 × 64,754
  4. Step 4: Simplify right side
    40,534x = 4,193,080,516
  5. Step 5: Solve for x
    x = 4,193,080,516/40,534
  6. Step 6: Final answer
    x = 103,446.01

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.