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Finding the Third Proportional to 59,510 and 84,603

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Solution

The third proportional to 59,510 and 84,603 is: 120,276.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,510 : 84,603 = 84,603 : x
  2. Step 2: Convert to fraction form
    59,510/84,603 = 84,603/x
  3. Step 3: Cross multiply
    59,510x = 84,603 × 84,603
  4. Step 4: Simplify right side
    59,510x = 7,157,667,609
  5. Step 5: Solve for x
    x = 7,157,667,609/59,510
  6. Step 6: Final answer
    x = 120,276.72

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.