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Finding the Third Proportional to 59,574 and 89,297

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Solution

The third proportional to 59,574 and 89,297 is: 133,849.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,574 : 89,297 = 89,297 : x
  2. Step 2: Convert to fraction form
    59,574/89,297 = 89,297/x
  3. Step 3: Cross multiply
    59,574x = 89,297 × 89,297
  4. Step 4: Simplify right side
    59,574x = 7,973,954,209
  5. Step 5: Solve for x
    x = 7,973,954,209/59,574
  6. Step 6: Final answer
    x = 133,849.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.