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Finding the Third Proportional to 52,080.47 and 112,271.06

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Solution

The third proportional to 52,080.47 and 112,271.06 is: 242,025.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,080.47 : 112,271.06 = 112,271.06 : x
  2. Step 2: Convert to fraction form
    52,080.47/112,271.06 = 112,271.06/x
  3. Step 3: Cross multiply
    52,080.47x = 112,271.06 × 112,271.06
  4. Step 4: Simplify right side
    52,080.47x = 12,604,791,474.88
  5. Step 5: Solve for x
    x = 12,604,791,474.88/52,080.47
  6. Step 6: Final answer
    x = 242,025.31

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.