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Finding the Third Proportional to 59,268 and 93,789

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Solution

The third proportional to 59,268 and 93,789 is: 148,416.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,268 : 93,789 = 93,789 : x
  2. Step 2: Convert to fraction form
    59,268/93,789 = 93,789/x
  3. Step 3: Cross multiply
    59,268x = 93,789 × 93,789
  4. Step 4: Simplify right side
    59,268x = 8,796,376,521
  5. Step 5: Solve for x
    x = 8,796,376,521/59,268
  6. Step 6: Final answer
    x = 148,416.96

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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.