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Finding the Third Proportional to 59,562 and 79,461

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Solution

The third proportional to 59,562 and 79,461 is: 106,008.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,562 : 79,461 = 79,461 : x
  2. Step 2: Convert to fraction form
    59,562/79,461 = 79,461/x
  3. Step 3: Cross multiply
    59,562x = 79,461 × 79,461
  4. Step 4: Simplify right side
    59,562x = 6,314,050,521
  5. Step 5: Solve for x
    x = 6,314,050,521/59,562
  6. Step 6: Final answer
    x = 106,008.03

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.