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Finding the Third Proportional to 113,426 and 136,633

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Solution

The third proportional to 113,426 and 136,633 is: 164,588.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,426 : 136,633 = 136,633 : x
  2. Step 2: Convert to fraction form
    113,426/136,633 = 136,633/x
  3. Step 3: Cross multiply
    113,426x = 136,633 × 136,633
  4. Step 4: Simplify right side
    113,426x = 18,668,576,689
  5. Step 5: Solve for x
    x = 18,668,576,689/113,426
  6. Step 6: Final answer
    x = 164,588.16

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.