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Finding the Third Proportional to 51,084 and 79,730.16

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Solution

The third proportional to 51,084 and 79,730.16 is: 124,440.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,084 : 79,730.16 = 79,730.16 : x
  2. Step 2: Convert to fraction form
    51,084/79,730.16 = 79,730.16/x
  3. Step 3: Cross multiply
    51,084x = 79,730.16 × 79,730.16
  4. Step 4: Simplify right side
    51,084x = 6,356,897,815.65
  5. Step 5: Solve for x
    x = 6,356,897,815.65/51,084
  6. Step 6: Final answer
    x = 124,440.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.