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Finding the Third Proportional to 85,032 and 130,788

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Solution

The third proportional to 85,032 and 130,788 is: 201,165.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,032 : 130,788 = 130,788 : x
  2. Step 2: Convert to fraction form
    85,032/130,788 = 130,788/x
  3. Step 3: Cross multiply
    85,032x = 130,788 × 130,788
  4. Step 4: Simplify right side
    85,032x = 17,105,500,944
  5. Step 5: Solve for x
    x = 17,105,500,944/85,032
  6. Step 6: Final answer
    x = 201,165.45

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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.