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Finding the Third Proportional to 48,135 and 105,570

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Solution

The third proportional to 48,135 and 105,570 is: 231,536.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,135 : 105,570 = 105,570 : x
  2. Step 2: Convert to fraction form
    48,135/105,570 = 105,570/x
  3. Step 3: Cross multiply
    48,135x = 105,570 × 105,570
  4. Step 4: Simplify right side
    48,135x = 11,145,024,900
  5. Step 5: Solve for x
    x = 11,145,024,900/48,135
  6. Step 6: Final answer
    x = 231,536.82

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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.