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Finding the Third Proportional to 60,482 and 90,783

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Solution

The third proportional to 60,482 and 90,783 is: 136,264.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,482 : 90,783 = 90,783 : x
  2. Step 2: Convert to fraction form
    60,482/90,783 = 90,783/x
  3. Step 3: Cross multiply
    60,482x = 90,783 × 90,783
  4. Step 4: Simplify right side
    60,482x = 8,241,553,089
  5. Step 5: Solve for x
    x = 8,241,553,089/60,482
  6. Step 6: Final answer
    x = 136,264.56

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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.