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Finding the Third Proportional to 112,050 and 242,937

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Solution

The third proportional to 112,050 and 242,937 is: 526,714.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,050 : 242,937 = 242,937 : x
  2. Step 2: Convert to fraction form
    112,050/242,937 = 242,937/x
  3. Step 3: Cross multiply
    112,050x = 242,937 × 242,937
  4. Step 4: Simplify right side
    112,050x = 59,018,385,969
  5. Step 5: Solve for x
    x = 59,018,385,969/112,050
  6. Step 6: Final answer
    x = 526,714.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.