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Finding the Third Proportional to 121,111.53 and 260,731.41

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Solution

The third proportional to 121,111.53 and 260,731.41 is: 561,307.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,111.53 : 260,731.41 = 260,731.41 : x
  2. Step 2: Convert to fraction form
    121,111.53/260,731.41 = 260,731.41/x
  3. Step 3: Cross multiply
    121,111.53x = 260,731.41 × 260,731.41
  4. Step 4: Simplify right side
    121,111.53x = 67,980,866,205.10
  5. Step 5: Solve for x
    x = 67,980,866,205.10/121,111.53
  6. Step 6: Final answer
    x = 561,307.95

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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.