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Finding the Third Proportional to 121,229 and 163,071.50

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Solution

The third proportional to 121,229 and 163,071.50 is: 219,356.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,229 : 163,071.50 = 163,071.50 : x
  2. Step 2: Convert to fraction form
    121,229/163,071.50 = 163,071.50/x
  3. Step 3: Cross multiply
    121,229x = 163,071.50 × 163,071.50
  4. Step 4: Simplify right side
    121,229x = 26,592,314,112.25
  5. Step 5: Solve for x
    x = 26,592,314,112.25/121,229
  6. Step 6: Final answer
    x = 219,356.05

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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.