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Finding the Third Proportional to 65,805 and 93,785.50

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Solution

The third proportional to 65,805 and 93,785.50 is: 133,663.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,805 : 93,785.50 = 93,785.50 : x
  2. Step 2: Convert to fraction form
    65,805/93,785.50 = 93,785.50/x
  3. Step 3: Cross multiply
    65,805x = 93,785.50 × 93,785.50
  4. Step 4: Simplify right side
    65,805x = 8,795,720,010.25
  5. Step 5: Solve for x
    x = 8,795,720,010.25/65,805
  6. Step 6: Final answer
    x = 133,663.40

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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.