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Finding the Third Proportional to 112,848.75 and 242,919

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Solution

The third proportional to 112,848.75 and 242,919 is: 522,909.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,848.75 : 242,919 = 242,919 : x
  2. Step 2: Convert to fraction form
    112,848.75/242,919 = 242,919/x
  3. Step 3: Cross multiply
    112,848.75x = 242,919 × 242,919
  4. Step 4: Simplify right side
    112,848.75x = 59,009,640,561
  5. Step 5: Solve for x
    x = 59,009,640,561/112,848.75
  6. Step 6: Final answer
    x = 522,909.12

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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.