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Finding the Third Proportional to 112,833 and 235,117.13

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Solution

The third proportional to 112,833 and 235,117.13 is: 489,928.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,833 : 235,117.13 = 235,117.13 : x
  2. Step 2: Convert to fraction form
    112,833/235,117.13 = 235,117.13/x
  3. Step 3: Cross multiply
    112,833x = 235,117.13 × 235,117.13
  4. Step 4: Simplify right side
    112,833x = 55,280,062,468.27
  5. Step 5: Solve for x
    x = 55,280,062,468.27/112,833
  6. Step 6: Final answer
    x = 489,928.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.