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Finding the Third Proportional to 60,103.50 and 93,057

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Solution

The third proportional to 60,103.50 and 93,057 is: 144,078.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,103.50 : 93,057 = 93,057 : x
  2. Step 2: Convert to fraction form
    60,103.50/93,057 = 93,057/x
  3. Step 3: Cross multiply
    60,103.50x = 93,057 × 93,057
  4. Step 4: Simplify right side
    60,103.50x = 8,659,605,249
  5. Step 5: Solve for x
    x = 8,659,605,249/60,103.50
  6. Step 6: Final answer
    x = 144,078.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.