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Finding the Third Proportional to 59,708 and 130,905

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Solution

The third proportional to 59,708 and 130,905 is: 286,998.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,708 : 130,905 = 130,905 : x
  2. Step 2: Convert to fraction form
    59,708/130,905 = 130,905/x
  3. Step 3: Cross multiply
    59,708x = 130,905 × 130,905
  4. Step 4: Simplify right side
    59,708x = 17,136,119,025
  5. Step 5: Solve for x
    x = 17,136,119,025/59,708
  6. Step 6: Final answer
    x = 286,998.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.