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Finding the Third Proportional to 68,907 and 97,527

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Solution

The third proportional to 68,907 and 97,527 is: 138,034.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,907 : 97,527 = 97,527 : x
  2. Step 2: Convert to fraction form
    68,907/97,527 = 97,527/x
  3. Step 3: Cross multiply
    68,907x = 97,527 × 97,527
  4. Step 4: Simplify right side
    68,907x = 9,511,515,729
  5. Step 5: Solve for x
    x = 9,511,515,729/68,907
  6. Step 6: Final answer
    x = 138,034.10

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.