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Finding the Third Proportional to 59,116 and 129,719

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Solution

The third proportional to 59,116 and 129,719 is: 284,644.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,116 : 129,719 = 129,719 : x
  2. Step 2: Convert to fraction form
    59,116/129,719 = 129,719/x
  3. Step 3: Cross multiply
    59,116x = 129,719 × 129,719
  4. Step 4: Simplify right side
    59,116x = 16,827,018,961
  5. Step 5: Solve for x
    x = 16,827,018,961/59,116
  6. Step 6: Final answer
    x = 284,644.07

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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.