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Finding the Third Proportional to 116,569 and 137,858

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Solution

The third proportional to 116,569 and 137,858 is: 163,035.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,569 : 137,858 = 137,858 : x
  2. Step 2: Convert to fraction form
    116,569/137,858 = 137,858/x
  3. Step 3: Cross multiply
    116,569x = 137,858 × 137,858
  4. Step 4: Simplify right side
    116,569x = 19,004,828,164
  5. Step 5: Solve for x
    x = 19,004,828,164/116,569
  6. Step 6: Final answer
    x = 163,035.01

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.