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Finding the Third Proportional to 64,034 and 102,885.50

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Solution

The third proportional to 64,034 and 102,885.50 is: 165,309.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,034 : 102,885.50 = 102,885.50 : x
  2. Step 2: Convert to fraction form
    64,034/102,885.50 = 102,885.50/x
  3. Step 3: Cross multiply
    64,034x = 102,885.50 × 102,885.50
  4. Step 4: Simplify right side
    64,034x = 10,585,426,110.25
  5. Step 5: Solve for x
    x = 10,585,426,110.25/64,034
  6. Step 6: Final answer
    x = 165,309.46

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.