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Finding the Third Proportional to 52,368 and 116,344

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Solution

The third proportional to 52,368 and 116,344 is: 258,477.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,368 : 116,344 = 116,344 : x
  2. Step 2: Convert to fraction form
    52,368/116,344 = 116,344/x
  3. Step 3: Cross multiply
    52,368x = 116,344 × 116,344
  4. Step 4: Simplify right side
    52,368x = 13,535,926,336
  5. Step 5: Solve for x
    x = 13,535,926,336/52,368
  6. Step 6: Final answer
    x = 258,477.05

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.