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Finding the Third Proportional to 71,763.13 and 112,005.19

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Solution

The third proportional to 71,763.13 and 112,005.19 is: 174,813.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,763.13 : 112,005.19 = 112,005.19 : x
  2. Step 2: Convert to fraction form
    71,763.13/112,005.19 = 112,005.19/x
  3. Step 3: Cross multiply
    71,763.13x = 112,005.19 × 112,005.19
  4. Step 4: Simplify right side
    71,763.13x = 12,545,162,026.91
  5. Step 5: Solve for x
    x = 12,545,162,026.91/71,763.13
  6. Step 6: Final answer
    x = 174,813.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.