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Finding the Third Proportional to 121,513 and 163,581

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Solution

The third proportional to 121,513 and 163,581 is: 220,213.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,513 : 163,581 = 163,581 : x
  2. Step 2: Convert to fraction form
    121,513/163,581 = 163,581/x
  3. Step 3: Cross multiply
    121,513x = 163,581 × 163,581
  4. Step 4: Simplify right side
    121,513x = 26,758,743,561
  5. Step 5: Solve for x
    x = 26,758,743,561/121,513
  6. Step 6: Final answer
    x = 220,213.01

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.