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Finding the Third Proportional to 61,122.09 and 129,602.53

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Solution

The third proportional to 61,122.09 and 129,602.53 is: 274,807.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,122.09 : 129,602.53 = 129,602.53 : x
  2. Step 2: Convert to fraction form
    61,122.09/129,602.53 = 129,602.53/x
  3. Step 3: Cross multiply
    61,122.09x = 129,602.53 × 129,602.53
  4. Step 4: Simplify right side
    61,122.09x = 16,796,816,106.41
  5. Step 5: Solve for x
    x = 16,796,816,106.41/61,122.09
  6. Step 6: Final answer
    x = 274,807.60

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.