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Finding the Third Proportional to 68,582 and 97,884

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Solution

The third proportional to 68,582 and 97,884 is: 139,705.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,582 : 97,884 = 97,884 : x
  2. Step 2: Convert to fraction form
    68,582/97,884 = 97,884/x
  3. Step 3: Cross multiply
    68,582x = 97,884 × 97,884
  4. Step 4: Simplify right side
    68,582x = 9,581,277,456
  5. Step 5: Solve for x
    x = 9,581,277,456/68,582
  6. Step 6: Final answer
    x = 139,705.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.