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Finding the Third Proportional to 88,710.19 and 137,029.22

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Solution

The third proportional to 88,710.19 and 137,029.22 is: 211,666.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,710.19 : 137,029.22 = 137,029.22 : x
  2. Step 2: Convert to fraction form
    88,710.19/137,029.22 = 137,029.22/x
  3. Step 3: Cross multiply
    88,710.19x = 137,029.22 × 137,029.22
  4. Step 4: Simplify right side
    88,710.19x = 18,777,006,791.24
  5. Step 5: Solve for x
    x = 18,777,006,791.24/88,710.19
  6. Step 6: Final answer
    x = 211,666.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.