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Finding the Third Proportional to 84,506.63 and 126,496.69

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Solution

The third proportional to 84,506.63 and 126,496.69 is: 189,350.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,506.63 : 126,496.69 = 126,496.69 : x
  2. Step 2: Convert to fraction form
    84,506.63/126,496.69 = 126,496.69/x
  3. Step 3: Cross multiply
    84,506.63x = 126,496.69 × 126,496.69
  4. Step 4: Simplify right side
    84,506.63x = 16,001,411,948.47
  5. Step 5: Solve for x
    x = 16,001,411,948.47/84,506.63
  6. Step 6: Final answer
    x = 189,350.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.