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Finding the Third Proportional to 51,641.75 and 109,482.75

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Solution

The third proportional to 51,641.75 and 109,482.75 is: 232,108.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,641.75 : 109,482.75 = 109,482.75 : x
  2. Step 2: Convert to fraction form
    51,641.75/109,482.75 = 109,482.75/x
  3. Step 3: Cross multiply
    51,641.75x = 109,482.75 × 109,482.75
  4. Step 4: Simplify right side
    51,641.75x = 11,986,472,547.56
  5. Step 5: Solve for x
    x = 11,986,472,547.56/51,641.75
  6. Step 6: Final answer
    x = 232,108.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.