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Finding the Third Proportional to 77,409 and 119,637

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Solution

The third proportional to 77,409 and 119,637 is: 184,901.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,409 : 119,637 = 119,637 : x
  2. Step 2: Convert to fraction form
    77,409/119,637 = 119,637/x
  3. Step 3: Cross multiply
    77,409x = 119,637 × 119,637
  4. Step 4: Simplify right side
    77,409x = 14,313,011,769
  5. Step 5: Solve for x
    x = 14,313,011,769/77,409
  6. Step 6: Final answer
    x = 184,901.13

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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.