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Finding the Third Proportional to 52,125.50 and 112,357

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Solution

The third proportional to 52,125.50 and 112,357 is: 242,186.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,125.50 : 112,357 = 112,357 : x
  2. Step 2: Convert to fraction form
    52,125.50/112,357 = 112,357/x
  3. Step 3: Cross multiply
    52,125.50x = 112,357 × 112,357
  4. Step 4: Simplify right side
    52,125.50x = 12,624,095,449
  5. Step 5: Solve for x
    x = 12,624,095,449/52,125.50
  6. Step 6: Final answer
    x = 242,186.56

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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.