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Finding the Third Proportional to 112,866 and 235,073.50

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Solution

The third proportional to 112,866 and 235,073.50 is: 489,603.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,866 : 235,073.50 = 235,073.50 : x
  2. Step 2: Convert to fraction form
    112,866/235,073.50 = 235,073.50/x
  3. Step 3: Cross multiply
    112,866x = 235,073.50 × 235,073.50
  4. Step 4: Simplify right side
    112,866x = 55,259,550,402.25
  5. Step 5: Solve for x
    x = 55,259,550,402.25/112,866
  6. Step 6: Final answer
    x = 489,603.16

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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.