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Finding the Third Proportional to 82,333 and 130,929

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Solution

The third proportional to 82,333 and 130,929 is: 208,208.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,333 : 130,929 = 130,929 : x
  2. Step 2: Convert to fraction form
    82,333/130,929 = 130,929/x
  3. Step 3: Cross multiply
    82,333x = 130,929 × 130,929
  4. Step 4: Simplify right side
    82,333x = 17,142,403,041
  5. Step 5: Solve for x
    x = 17,142,403,041/82,333
  6. Step 6: Final answer
    x = 208,208.17

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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.