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Finding the Third Proportional to 65,806 and 93,787

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Solution

The third proportional to 65,806 and 93,787 is: 133,665.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,806 : 93,787 = 93,787 : x
  2. Step 2: Convert to fraction form
    65,806/93,787 = 93,787/x
  3. Step 3: Cross multiply
    65,806x = 93,787 × 93,787
  4. Step 4: Simplify right side
    65,806x = 8,796,001,369
  5. Step 5: Solve for x
    x = 8,796,001,369/65,806
  6. Step 6: Final answer
    x = 133,665.64

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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.