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Finding the Third Proportional to 76,140 and 175,482

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Solution

The third proportional to 76,140 and 175,482 is: 404,438.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,140 : 175,482 = 175,482 : x
  2. Step 2: Convert to fraction form
    76,140/175,482 = 175,482/x
  3. Step 3: Cross multiply
    76,140x = 175,482 × 175,482
  4. Step 4: Simplify right side
    76,140x = 30,793,932,324
  5. Step 5: Solve for x
    x = 30,793,932,324/76,140
  6. Step 6: Final answer
    x = 404,438.30

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.