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Finding the Third Proportional to 52,239 and 112,335

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Solution

The third proportional to 52,239 and 112,335 is: 241,565.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,239 : 112,335 = 112,335 : x
  2. Step 2: Convert to fraction form
    52,239/112,335 = 112,335/x
  3. Step 3: Cross multiply
    52,239x = 112,335 × 112,335
  4. Step 4: Simplify right side
    52,239x = 12,619,152,225
  5. Step 5: Solve for x
    x = 12,619,152,225/52,239
  6. Step 6: Final answer
    x = 241,565.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.