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Finding the Third Proportional to 59,485 and 87,582

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Solution

The third proportional to 59,485 and 87,582 is: 128,950.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,485 : 87,582 = 87,582 : x
  2. Step 2: Convert to fraction form
    59,485/87,582 = 87,582/x
  3. Step 3: Cross multiply
    59,485x = 87,582 × 87,582
  4. Step 4: Simplify right side
    59,485x = 7,670,606,724
  5. Step 5: Solve for x
    x = 7,670,606,724/59,485
  6. Step 6: Final answer
    x = 128,950.27

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.