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Finding the Third Proportional to 67,582 and 97,349

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Solution

The third proportional to 67,582 and 97,349 is: 140,227.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,582 : 97,349 = 97,349 : x
  2. Step 2: Convert to fraction form
    67,582/97,349 = 97,349/x
  3. Step 3: Cross multiply
    67,582x = 97,349 × 97,349
  4. Step 4: Simplify right side
    67,582x = 9,476,827,801
  5. Step 5: Solve for x
    x = 9,476,827,801/67,582
  6. Step 6: Final answer
    x = 140,227.10

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.