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Finding the Third Proportional to 59,998 and 89,511

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Solution

The third proportional to 59,998 and 89,511 is: 133,541.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,998 : 89,511 = 89,511 : x
  2. Step 2: Convert to fraction form
    59,998/89,511 = 89,511/x
  3. Step 3: Cross multiply
    59,998x = 89,511 × 89,511
  4. Step 4: Simplify right side
    59,998x = 8,012,219,121
  5. Step 5: Solve for x
    x = 8,012,219,121/59,998
  6. Step 6: Final answer
    x = 133,541.44

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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.