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Finding the Third Proportional to 112,906 and 165,120.50

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Solution

The third proportional to 112,906 and 165,120.50 is: 241,482.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,906 : 165,120.50 = 165,120.50 : x
  2. Step 2: Convert to fraction form
    112,906/165,120.50 = 165,120.50/x
  3. Step 3: Cross multiply
    112,906x = 165,120.50 × 165,120.50
  4. Step 4: Simplify right side
    112,906x = 27,264,779,520.25
  5. Step 5: Solve for x
    x = 27,264,779,520.25/112,906
  6. Step 6: Final answer
    x = 241,482.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.