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Finding the Third Proportional to 82,998 and 124,557.75

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Solution

The third proportional to 82,998 and 124,557.75 is: 186,927.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,998 : 124,557.75 = 124,557.75 : x
  2. Step 2: Convert to fraction form
    82,998/124,557.75 = 124,557.75/x
  3. Step 3: Cross multiply
    82,998x = 124,557.75 × 124,557.75
  4. Step 4: Simplify right side
    82,998x = 15,514,633,085.06
  5. Step 5: Solve for x
    x = 15,514,633,085.06/82,998
  6. Step 6: Final answer
    x = 186,927.79

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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.