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Finding the Third Proportional to 65,731 and 98,482

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Solution

The third proportional to 65,731 and 98,482 is: 147,551.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,731 : 98,482 = 98,482 : x
  2. Step 2: Convert to fraction form
    65,731/98,482 = 98,482/x
  3. Step 3: Cross multiply
    65,731x = 98,482 × 98,482
  4. Step 4: Simplify right side
    65,731x = 9,698,704,324
  5. Step 5: Solve for x
    x = 9,698,704,324/65,731
  6. Step 6: Final answer
    x = 147,551.45

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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.