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Finding the Third Proportional to 77,410.13 and 119,637.75

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Solution

The third proportional to 77,410.13 and 119,637.75 is: 184,900.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,410.13 : 119,637.75 = 119,637.75 : x
  2. Step 2: Convert to fraction form
    77,410.13/119,637.75 = 119,637.75/x
  3. Step 3: Cross multiply
    77,410.13x = 119,637.75 × 119,637.75
  4. Step 4: Simplify right side
    77,410.13x = 14,313,191,225.06
  5. Step 5: Solve for x
    x = 14,313,191,225.06/77,410.13
  6. Step 6: Final answer
    x = 184,900.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.