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Finding the Third Proportional to 61,054.13 and 130,172.81

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Solution

The third proportional to 61,054.13 and 130,172.81 is: 277,539.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,054.13 : 130,172.81 = 130,172.81 : x
  2. Step 2: Convert to fraction form
    61,054.13/130,172.81 = 130,172.81/x
  3. Step 3: Cross multiply
    61,054.13x = 130,172.81 × 130,172.81
  4. Step 4: Simplify right side
    61,054.13x = 16,944,961,114.16
  5. Step 5: Solve for x
    x = 16,944,961,114.16/61,054.13
  6. Step 6: Final answer
    x = 277,539.99

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.