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Finding the Third Proportional to 64,193.29 and 100,176.10

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Solution

The third proportional to 64,193.29 and 100,176.10 is: 156,328.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,193.29 : 100,176.10 = 100,176.10 : x
  2. Step 2: Convert to fraction form
    64,193.29/100,176.10 = 100,176.10/x
  3. Step 3: Cross multiply
    64,193.29x = 100,176.10 × 100,176.10
  4. Step 4: Simplify right side
    64,193.29x = 10,035,250,492.72
  5. Step 5: Solve for x
    x = 10,035,250,492.72/64,193.29
  6. Step 6: Final answer
    x = 156,328.65

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.