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Finding the Third Proportional to 59,998 and 89,510

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Solution

The third proportional to 59,998 and 89,510 is: 133,538.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,998 : 89,510 = 89,510 : x
  2. Step 2: Convert to fraction form
    59,998/89,510 = 89,510/x
  3. Step 3: Cross multiply
    59,998x = 89,510 × 89,510
  4. Step 4: Simplify right side
    59,998x = 8,012,040,100
  5. Step 5: Solve for x
    x = 8,012,040,100/59,998
  6. Step 6: Final answer
    x = 133,538.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.