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Finding the Third Proportional to 97,084 and 145,482

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Solution

The third proportional to 97,084 and 145,482 is: 218,007.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,084 : 145,482 = 145,482 : x
  2. Step 2: Convert to fraction form
    97,084/145,482 = 145,482/x
  3. Step 3: Cross multiply
    97,084x = 145,482 × 145,482
  4. Step 4: Simplify right side
    97,084x = 21,165,012,324
  5. Step 5: Solve for x
    x = 21,165,012,324/97,084
  6. Step 6: Final answer
    x = 218,007.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.