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Finding the Third Proportional to 62,090 and 134,020

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Solution

The third proportional to 62,090 and 134,020 is: 289,279.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,090 : 134,020 = 134,020 : x
  2. Step 2: Convert to fraction form
    62,090/134,020 = 134,020/x
  3. Step 3: Cross multiply
    62,090x = 134,020 × 134,020
  4. Step 4: Simplify right side
    62,090x = 17,961,360,400
  5. Step 5: Solve for x
    x = 17,961,360,400/62,090
  6. Step 6: Final answer
    x = 289,279.44

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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.