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Finding the Third Proportional to 102,598.50 and 163,905.75

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Solution

The third proportional to 102,598.50 and 163,905.75 is: 261,846.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,598.50 : 163,905.75 = 163,905.75 : x
  2. Step 2: Convert to fraction form
    102,598.50/163,905.75 = 163,905.75/x
  3. Step 3: Cross multiply
    102,598.50x = 163,905.75 × 163,905.75
  4. Step 4: Simplify right side
    102,598.50x = 26,865,094,883.06
  5. Step 5: Solve for x
    x = 26,865,094,883.06/102,598.50
  6. Step 6: Final answer
    x = 261,846.86

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.