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Finding the Third Proportional to 59,285 and 93,846

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Solution

The third proportional to 59,285 and 93,846 is: 148,554.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,285 : 93,846 = 93,846 : x
  2. Step 2: Convert to fraction form
    59,285/93,846 = 93,846/x
  3. Step 3: Cross multiply
    59,285x = 93,846 × 93,846
  4. Step 4: Simplify right side
    59,285x = 8,807,071,716
  5. Step 5: Solve for x
    x = 8,807,071,716/59,285
  6. Step 6: Final answer
    x = 148,554.81

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.