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Finding the Third Proportional to 77,739.75 and 116,587.13

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Solution

The third proportional to 77,739.75 and 116,587.13 is: 174,846.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,739.75 : 116,587.13 = 116,587.13 : x
  2. Step 2: Convert to fraction form
    77,739.75/116,587.13 = 116,587.13/x
  3. Step 3: Cross multiply
    77,739.75x = 116,587.13 × 116,587.13
  4. Step 4: Simplify right side
    77,739.75x = 13,592,557,715.77
  5. Step 5: Solve for x
    x = 13,592,557,715.77/77,739.75
  6. Step 6: Final answer
    x = 174,846.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.