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Finding the Third Proportional to 114,598.13 and 172,113.19

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Solution

The third proportional to 114,598.13 and 172,113.19 is: 258,494.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,598.13 : 172,113.19 = 172,113.19 : x
  2. Step 2: Convert to fraction form
    114,598.13/172,113.19 = 172,113.19/x
  3. Step 3: Cross multiply
    114,598.13x = 172,113.19 × 172,113.19
  4. Step 4: Simplify right side
    114,598.13x = 29,622,949,311.41
  5. Step 5: Solve for x
    x = 29,622,949,311.41/114,598.13
  6. Step 6: Final answer
    x = 258,494.19

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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.