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Finding the Third Proportional to 59,382 and 89,640

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Solution

The third proportional to 59,382 and 89,640 is: 135,315.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,382 : 89,640 = 89,640 : x
  2. Step 2: Convert to fraction form
    59,382/89,640 = 89,640/x
  3. Step 3: Cross multiply
    59,382x = 89,640 × 89,640
  4. Step 4: Simplify right side
    59,382x = 8,035,329,600
  5. Step 5: Solve for x
    x = 8,035,329,600/59,382
  6. Step 6: Final answer
    x = 135,315.91

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.