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Finding the Third Proportional to 62,113 and 134,114

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Solution

The third proportional to 62,113 and 134,114 is: 289,578.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,113 : 134,114 = 134,114 : x
  2. Step 2: Convert to fraction form
    62,113/134,114 = 134,114/x
  3. Step 3: Cross multiply
    62,113x = 134,114 × 134,114
  4. Step 4: Simplify right side
    62,113x = 17,986,564,996
  5. Step 5: Solve for x
    x = 17,986,564,996/62,113
  6. Step 6: Final answer
    x = 289,578.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.