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Finding the Third Proportional to 121,203 and 162,115.50

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Solution

The third proportional to 121,203 and 162,115.50 is: 216,838.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,203 : 162,115.50 = 162,115.50 : x
  2. Step 2: Convert to fraction form
    121,203/162,115.50 = 162,115.50/x
  3. Step 3: Cross multiply
    121,203x = 162,115.50 × 162,115.50
  4. Step 4: Simplify right side
    121,203x = 26,281,435,340.25
  5. Step 5: Solve for x
    x = 26,281,435,340.25/121,203
  6. Step 6: Final answer
    x = 216,838.16

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.