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Finding the Third Proportional to 52,575.75 and 112,532.63

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Solution

The third proportional to 52,575.75 and 112,532.63 is: 240,863.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,575.75 : 112,532.63 = 112,532.63 : x
  2. Step 2: Convert to fraction form
    52,575.75/112,532.63 = 112,532.63/x
  3. Step 3: Cross multiply
    52,575.75x = 112,532.63 × 112,532.63
  4. Step 4: Simplify right side
    52,575.75x = 12,663,591,689.39
  5. Step 5: Solve for x
    x = 12,663,591,689.39/52,575.75
  6. Step 6: Final answer
    x = 240,863.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.