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Finding the Third Proportional to 81,417 and 129,514.50

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Solution

The third proportional to 81,417 and 129,514.50 is: 206,025.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,417 : 129,514.50 = 129,514.50 : x
  2. Step 2: Convert to fraction form
    81,417/129,514.50 = 129,514.50/x
  3. Step 3: Cross multiply
    81,417x = 129,514.50 × 129,514.50
  4. Step 4: Simplify right side
    81,417x = 16,774,005,710.25
  5. Step 5: Solve for x
    x = 16,774,005,710.25/81,417
  6. Step 6: Final answer
    x = 206,025.84

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.