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Finding the Third Proportional to 122,752 and 189,552

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Solution

The third proportional to 122,752 and 189,552 is: 292,703.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,752 : 189,552 = 189,552 : x
  2. Step 2: Convert to fraction form
    122,752/189,552 = 189,552/x
  3. Step 3: Cross multiply
    122,752x = 189,552 × 189,552
  4. Step 4: Simplify right side
    122,752x = 35,929,960,704
  5. Step 5: Solve for x
    x = 35,929,960,704/122,752
  6. Step 6: Final answer
    x = 292,703.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.