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Finding the Third Proportional to 52,035.19 and 112,818.38

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Solution

The third proportional to 52,035.19 and 112,818.38 is: 244,603.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,035.19 : 112,818.38 = 112,818.38 : x
  2. Step 2: Convert to fraction form
    52,035.19/112,818.38 = 112,818.38/x
  3. Step 3: Cross multiply
    52,035.19x = 112,818.38 × 112,818.38
  4. Step 4: Simplify right side
    52,035.19x = 12,727,985,737.64
  5. Step 5: Solve for x
    x = 12,727,985,737.64/52,035.19
  6. Step 6: Final answer
    x = 244,603.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.