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Finding the Third Proportional to 88,690 and 133,030

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Solution

The third proportional to 88,690 and 133,030 is: 199,537.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,690 : 133,030 = 133,030 : x
  2. Step 2: Convert to fraction form
    88,690/133,030 = 133,030/x
  3. Step 3: Cross multiply
    88,690x = 133,030 × 133,030
  4. Step 4: Simplify right side
    88,690x = 17,696,980,900
  5. Step 5: Solve for x
    x = 17,696,980,900/88,690
  6. Step 6: Final answer
    x = 199,537.50

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Why These Related Problems?

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