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Finding the Third Proportional to 112,640 and 152,045

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Solution

The third proportional to 112,640 and 152,045 is: 205,235.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,640 : 152,045 = 152,045 : x
  2. Step 2: Convert to fraction form
    112,640/152,045 = 152,045/x
  3. Step 3: Cross multiply
    112,640x = 152,045 × 152,045
  4. Step 4: Simplify right side
    112,640x = 23,117,682,025
  5. Step 5: Solve for x
    x = 23,117,682,025/112,640
  6. Step 6: Final answer
    x = 205,235.10

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.