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Finding the Third Proportional to 121,232 and 163,076

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Solution

The third proportional to 121,232 and 163,076 is: 219,362.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,232 : 163,076 = 163,076 : x
  2. Step 2: Convert to fraction form
    121,232/163,076 = 163,076/x
  3. Step 3: Cross multiply
    121,232x = 163,076 × 163,076
  4. Step 4: Simplify right side
    121,232x = 26,593,781,776
  5. Step 5: Solve for x
    x = 26,593,781,776/121,232
  6. Step 6: Final answer
    x = 219,362.72

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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.