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Finding the Third Proportional to 133,026 and 157,630

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Solution

The third proportional to 133,026 and 157,630 is: 186,784.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,026 : 157,630 = 157,630 : x
  2. Step 2: Convert to fraction form
    133,026/157,630 = 157,630/x
  3. Step 3: Cross multiply
    133,026x = 157,630 × 157,630
  4. Step 4: Simplify right side
    133,026x = 24,847,216,900
  5. Step 5: Solve for x
    x = 24,847,216,900/133,026
  6. Step 6: Final answer
    x = 186,784.67

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.