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Finding the Third Proportional to 59,354 and 92,435

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Solution

The third proportional to 59,354 and 92,435 is: 143,953.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,354 : 92,435 = 92,435 : x
  2. Step 2: Convert to fraction form
    59,354/92,435 = 92,435/x
  3. Step 3: Cross multiply
    59,354x = 92,435 × 92,435
  4. Step 4: Simplify right side
    59,354x = 8,544,229,225
  5. Step 5: Solve for x
    x = 8,544,229,225/59,354
  6. Step 6: Final answer
    x = 143,953.72

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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.