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Finding the Third Proportional to 84,600 and 130,788

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Solution

The third proportional to 84,600 and 130,788 is: 202,192.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,600 : 130,788 = 130,788 : x
  2. Step 2: Convert to fraction form
    84,600/130,788 = 130,788/x
  3. Step 3: Cross multiply
    84,600x = 130,788 × 130,788
  4. Step 4: Simplify right side
    84,600x = 17,105,500,944
  5. Step 5: Solve for x
    x = 17,105,500,944/84,600
  6. Step 6: Final answer
    x = 202,192.68

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.