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Finding the Third Proportional to 59,461 and 129,584

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Solution

The third proportional to 59,461 and 129,584 is: 282,403.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,461 : 129,584 = 129,584 : x
  2. Step 2: Convert to fraction form
    59,461/129,584 = 129,584/x
  3. Step 3: Cross multiply
    59,461x = 129,584 × 129,584
  4. Step 4: Simplify right side
    59,461x = 16,792,013,056
  5. Step 5: Solve for x
    x = 16,792,013,056/59,461
  6. Step 6: Final answer
    x = 282,403.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.