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Finding the Third Proportional to 52,999 and 112,316

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Solution

The third proportional to 52,999 and 112,316 is: 238,021.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,999 : 112,316 = 112,316 : x
  2. Step 2: Convert to fraction form
    52,999/112,316 = 112,316/x
  3. Step 3: Cross multiply
    52,999x = 112,316 × 112,316
  4. Step 4: Simplify right side
    52,999x = 12,614,883,856
  5. Step 5: Solve for x
    x = 12,614,883,856/52,999
  6. Step 6: Final answer
    x = 238,021.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.