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Finding the Third Proportional to 76,130 and 163,482

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Solution

The third proportional to 76,130 and 163,482 is: 351,062.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,130 : 163,482 = 163,482 : x
  2. Step 2: Convert to fraction form
    76,130/163,482 = 163,482/x
  3. Step 3: Cross multiply
    76,130x = 163,482 × 163,482
  4. Step 4: Simplify right side
    76,130x = 26,726,364,324
  5. Step 5: Solve for x
    x = 26,726,364,324/76,130
  6. Step 6: Final answer
    x = 351,062.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.