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Finding the Third Proportional to 60,498 and 90,807

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Solution

The third proportional to 60,498 and 90,807 is: 136,300.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,498 : 90,807 = 90,807 : x
  2. Step 2: Convert to fraction form
    60,498/90,807 = 90,807/x
  3. Step 3: Cross multiply
    60,498x = 90,807 × 90,807
  4. Step 4: Simplify right side
    60,498x = 8,245,911,249
  5. Step 5: Solve for x
    x = 8,245,911,249/60,498
  6. Step 6: Final answer
    x = 136,300.56

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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.