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Finding the Third Proportional to 112,279.50 and 165,137.06

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Solution

The third proportional to 112,279.50 and 165,137.06 is: 242,878.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,279.50 : 165,137.06 = 165,137.06 : x
  2. Step 2: Convert to fraction form
    112,279.50/165,137.06 = 165,137.06/x
  3. Step 3: Cross multiply
    112,279.50x = 165,137.06 × 165,137.06
  4. Step 4: Simplify right side
    112,279.50x = 27,270,249,411.13
  5. Step 5: Solve for x
    x = 27,270,249,411.13/112,279.50
  6. Step 6: Final answer
    x = 242,878.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.