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Finding the Third Proportional to 48,130.50 and 105,561

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Solution

The third proportional to 48,130.50 and 105,561 is: 231,518.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,130.50 : 105,561 = 105,561 : x
  2. Step 2: Convert to fraction form
    48,130.50/105,561 = 105,561/x
  3. Step 3: Cross multiply
    48,130.50x = 105,561 × 105,561
  4. Step 4: Simplify right side
    48,130.50x = 11,143,124,721
  5. Step 5: Solve for x
    x = 11,143,124,721/48,130.50
  6. Step 6: Final answer
    x = 231,518.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.