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Finding the Third Proportional to 114,432.75 and 172,874.25

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Solution

The third proportional to 114,432.75 and 172,874.25 is: 261,162.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,432.75 : 172,874.25 = 172,874.25 : x
  2. Step 2: Convert to fraction form
    114,432.75/172,874.25 = 172,874.25/x
  3. Step 3: Cross multiply
    114,432.75x = 172,874.25 × 172,874.25
  4. Step 4: Simplify right side
    114,432.75x = 29,885,506,313.06
  5. Step 5: Solve for x
    x = 29,885,506,313.06/114,432.75
  6. Step 6: Final answer
    x = 261,162.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.