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Finding the Third Proportional to 77,498.02 and 119,704.08

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Solution

The third proportional to 77,498.02 and 119,704.08 is: 184,895.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,498.02 : 119,704.08 = 119,704.08 : x
  2. Step 2: Convert to fraction form
    77,498.02/119,704.08 = 119,704.08/x
  3. Step 3: Cross multiply
    77,498.02x = 119,704.08 × 119,704.08
  4. Step 4: Simplify right side
    77,498.02x = 14,329,066,319.76
  5. Step 5: Solve for x
    x = 14,329,066,319.76/77,498.02
  6. Step 6: Final answer
    x = 184,895.91

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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.