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Finding the Third Proportional to 52,315 and 113,216

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Solution

The third proportional to 52,315 and 113,216 is: 245,013.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,315 : 113,216 = 113,216 : x
  2. Step 2: Convert to fraction form
    52,315/113,216 = 113,216/x
  3. Step 3: Cross multiply
    52,315x = 113,216 × 113,216
  4. Step 4: Simplify right side
    52,315x = 12,817,862,656
  5. Step 5: Solve for x
    x = 12,817,862,656/52,315
  6. Step 6: Final answer
    x = 245,013.14

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Why These Related Problems?

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