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Finding the Third Proportional to 81,089.86 and 124,710.26

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Solution

The third proportional to 81,089.86 and 124,710.26 is: 191,795.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,089.86 : 124,710.26 = 124,710.26 : x
  2. Step 2: Convert to fraction form
    81,089.86/124,710.26 = 124,710.26/x
  3. Step 3: Cross multiply
    81,089.86x = 124,710.26 × 124,710.26
  4. Step 4: Simplify right side
    81,089.86x = 15,552,648,403.66
  5. Step 5: Solve for x
    x = 15,552,648,403.66/81,089.86
  6. Step 6: Final answer
    x = 191,795.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.