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Finding the Third Proportional to 52,152 and 112,166.25

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Solution

The third proportional to 52,152 and 112,166.25 is: 241,242.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,152 : 112,166.25 = 112,166.25 : x
  2. Step 2: Convert to fraction form
    52,152/112,166.25 = 112,166.25/x
  3. Step 3: Cross multiply
    52,152x = 112,166.25 × 112,166.25
  4. Step 4: Simplify right side
    52,152x = 12,581,267,639.06
  5. Step 5: Solve for x
    x = 12,581,267,639.06/52,152
  6. Step 6: Final answer
    x = 241,242.28

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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.