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Finding the Third Proportional to 89,522 and 195,028

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Solution

The third proportional to 89,522 and 195,028 is: 424,877.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,522 : 195,028 = 195,028 : x
  2. Step 2: Convert to fraction form
    89,522/195,028 = 195,028/x
  3. Step 3: Cross multiply
    89,522x = 195,028 × 195,028
  4. Step 4: Simplify right side
    89,522x = 38,035,920,784
  5. Step 5: Solve for x
    x = 38,035,920,784/89,522
  6. Step 6: Final answer
    x = 424,877.92

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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.