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Finding the Third Proportional to 59,484 and 92,244.75

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Solution

The third proportional to 59,484 and 92,244.75 is: 143,048.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,484 : 92,244.75 = 92,244.75 : x
  2. Step 2: Convert to fraction form
    59,484/92,244.75 = 92,244.75/x
  3. Step 3: Cross multiply
    59,484x = 92,244.75 × 92,244.75
  4. Step 4: Simplify right side
    59,484x = 8,509,093,902.56
  5. Step 5: Solve for x
    x = 8,509,093,902.56/59,484
  6. Step 6: Final answer
    x = 143,048.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.