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Finding the Third Proportional to 68,588 and 97,893

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Solution

The third proportional to 68,588 and 97,893 is: 139,718.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,588 : 97,893 = 97,893 : x
  2. Step 2: Convert to fraction form
    68,588/97,893 = 97,893/x
  3. Step 3: Cross multiply
    68,588x = 97,893 × 97,893
  4. Step 4: Simplify right side
    68,588x = 9,583,039,449
  5. Step 5: Solve for x
    x = 9,583,039,449/68,588
  6. Step 6: Final answer
    x = 139,718.89

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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.