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Finding the Third Proportional to 84,763.13 and 128,237.06

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Solution

The third proportional to 84,763.13 and 128,237.06 is: 194,008.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,763.13 : 128,237.06 = 128,237.06 : x
  2. Step 2: Convert to fraction form
    84,763.13/128,237.06 = 128,237.06/x
  3. Step 3: Cross multiply
    84,763.13x = 128,237.06 × 128,237.06
  4. Step 4: Simplify right side
    84,763.13x = 16,444,744,198.63
  5. Step 5: Solve for x
    x = 16,444,744,198.63/84,763.13
  6. Step 6: Final answer
    x = 194,008.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.