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Finding the Third Proportional to 121,716 and 262,156.50

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Solution

The third proportional to 121,716 and 262,156.50 is: 564,642.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,716 : 262,156.50 = 262,156.50 : x
  2. Step 2: Convert to fraction form
    121,716/262,156.50 = 262,156.50/x
  3. Step 3: Cross multiply
    121,716x = 262,156.50 × 262,156.50
  4. Step 4: Simplify right side
    121,716x = 68,726,030,492.25
  5. Step 5: Solve for x
    x = 68,726,030,492.25/121,716
  6. Step 6: Final answer
    x = 564,642.53

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.