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Finding the Third Proportional to 45,914 and 97,342

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Solution

The third proportional to 45,914 and 97,342 is: 206,374.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,914 : 97,342 = 97,342 : x
  2. Step 2: Convert to fraction form
    45,914/97,342 = 97,342/x
  3. Step 3: Cross multiply
    45,914x = 97,342 × 97,342
  4. Step 4: Simplify right side
    45,914x = 9,475,464,964
  5. Step 5: Solve for x
    x = 9,475,464,964/45,914
  6. Step 6: Final answer
    x = 206,374.20

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.