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Finding the Third Proportional to 65,808 and 93,790

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Solution

The third proportional to 65,808 and 93,790 is: 133,670.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,808 : 93,790 = 93,790 : x
  2. Step 2: Convert to fraction form
    65,808/93,790 = 93,790/x
  3. Step 3: Cross multiply
    65,808x = 93,790 × 93,790
  4. Step 4: Simplify right side
    65,808x = 8,796,564,100
  5. Step 5: Solve for x
    x = 8,796,564,100/65,808
  6. Step 6: Final answer
    x = 133,670.13

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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.