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Finding the Third Proportional to 60,106 and 128,550

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Solution

The third proportional to 60,106 and 128,550 is: 274,932.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,106 : 128,550 = 128,550 : x
  2. Step 2: Convert to fraction form
    60,106/128,550 = 128,550/x
  3. Step 3: Cross multiply
    60,106x = 128,550 × 128,550
  4. Step 4: Simplify right side
    60,106x = 16,525,102,500
  5. Step 5: Solve for x
    x = 16,525,102,500/60,106
  6. Step 6: Final answer
    x = 274,932.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.