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Finding the Third Proportional to 77,323 and 119,726

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Solution

The third proportional to 77,323 and 119,726 is: 185,382.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,323 : 119,726 = 119,726 : x
  2. Step 2: Convert to fraction form
    77,323/119,726 = 119,726/x
  3. Step 3: Cross multiply
    77,323x = 119,726 × 119,726
  4. Step 4: Simplify right side
    77,323x = 14,334,315,076
  5. Step 5: Solve for x
    x = 14,334,315,076/77,323
  6. Step 6: Final answer
    x = 185,382.29

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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.