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Finding the Third Proportional to 62,583 and 134,070

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Solution

The third proportional to 62,583 and 134,070 is: 287,214.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,583 : 134,070 = 134,070 : x
  2. Step 2: Convert to fraction form
    62,583/134,070 = 134,070/x
  3. Step 3: Cross multiply
    62,583x = 134,070 × 134,070
  4. Step 4: Simplify right side
    62,583x = 17,974,764,900
  5. Step 5: Solve for x
    x = 17,974,764,900/62,583
  6. Step 6: Final answer
    x = 287,214.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.