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Finding the Third Proportional to 77,608.13 and 119,849.63

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Solution

The third proportional to 77,608.13 and 119,849.63 is: 185,082.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,608.13 : 119,849.63 = 119,849.63 : x
  2. Step 2: Convert to fraction form
    77,608.13/119,849.63 = 119,849.63/x
  3. Step 3: Cross multiply
    77,608.13x = 119,849.63 × 119,849.63
  4. Step 4: Simplify right side
    77,608.13x = 14,363,932,612.64
  5. Step 5: Solve for x
    x = 14,363,932,612.64/77,608.13
  6. Step 6: Final answer
    x = 185,082.85

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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.