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Finding the Third Proportional to 84,182.25 and 130,699.88

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Solution

The third proportional to 84,182.25 and 130,699.88 is: 202,922.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,182.25 : 130,699.88 = 130,699.88 : x
  2. Step 2: Convert to fraction form
    84,182.25/130,699.88 = 130,699.88/x
  3. Step 3: Cross multiply
    84,182.25x = 130,699.88 × 130,699.88
  4. Step 4: Simplify right side
    84,182.25x = 17,082,457,325.02
  5. Step 5: Solve for x
    x = 17,082,457,325.02/84,182.25
  6. Step 6: Final answer
    x = 202,922.32

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Why These Related Problems?

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