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Finding the Third Proportional to 77,470.59 and 119,709

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Solution

The third proportional to 77,470.59 and 119,709 is: 184,976.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,470.59 : 119,709 = 119,709 : x
  2. Step 2: Convert to fraction form
    77,470.59/119,709 = 119,709/x
  3. Step 3: Cross multiply
    77,470.59x = 119,709 × 119,709
  4. Step 4: Simplify right side
    77,470.59x = 14,330,244,681
  5. Step 5: Solve for x
    x = 14,330,244,681/77,470.59
  6. Step 6: Final answer
    x = 184,976.57

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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.