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Finding the Third Proportional to 89,451 and 134,176.50

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Solution

The third proportional to 89,451 and 134,176.50 is: 201,264.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,451 : 134,176.50 = 134,176.50 : x
  2. Step 2: Convert to fraction form
    89,451/134,176.50 = 134,176.50/x
  3. Step 3: Cross multiply
    89,451x = 134,176.50 × 134,176.50
  4. Step 4: Simplify right side
    89,451x = 18,003,333,152.25
  5. Step 5: Solve for x
    x = 18,003,333,152.25/89,451
  6. Step 6: Final answer
    x = 201,264.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.