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Finding the Third Proportional to 52,131 and 112,527

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Solution

The third proportional to 52,131 and 112,527 is: 242,894.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,131 : 112,527 = 112,527 : x
  2. Step 2: Convert to fraction form
    52,131/112,527 = 112,527/x
  3. Step 3: Cross multiply
    52,131x = 112,527 × 112,527
  4. Step 4: Simplify right side
    52,131x = 12,662,325,729
  5. Step 5: Solve for x
    x = 12,662,325,729/52,131
  6. Step 6: Final answer
    x = 242,894.36

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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.