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Finding the Third Proportional to 77,614 and 118,648.25

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Solution

The third proportional to 77,614 and 118,648.25 is: 181,377.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,614 : 118,648.25 = 118,648.25 : x
  2. Step 2: Convert to fraction form
    77,614/118,648.25 = 118,648.25/x
  3. Step 3: Cross multiply
    77,614x = 118,648.25 × 118,648.25
  4. Step 4: Simplify right side
    77,614x = 14,077,407,228.06
  5. Step 5: Solve for x
    x = 14,077,407,228.06/77,614
  6. Step 6: Final answer
    x = 181,377.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.