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Finding the Third Proportional to 84,499 and 129,929

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Solution

The third proportional to 84,499 and 129,929 is: 199,783.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,499 : 129,929 = 129,929 : x
  2. Step 2: Convert to fraction form
    84,499/129,929 = 129,929/x
  3. Step 3: Cross multiply
    84,499x = 129,929 × 129,929
  4. Step 4: Simplify right side
    84,499x = 16,881,545,041
  5. Step 5: Solve for x
    x = 16,881,545,041/84,499
  6. Step 6: Final answer
    x = 199,783.96

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