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Finding the Third Proportional to 77,415 and 119,646

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Solution

The third proportional to 77,415 and 119,646 is: 184,914.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,415 : 119,646 = 119,646 : x
  2. Step 2: Convert to fraction form
    77,415/119,646 = 119,646/x
  3. Step 3: Cross multiply
    77,415x = 119,646 × 119,646
  4. Step 4: Simplify right side
    77,415x = 14,315,165,316
  5. Step 5: Solve for x
    x = 14,315,165,316/77,415
  6. Step 6: Final answer
    x = 184,914.62

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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.