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Finding the Third Proportional to 112,117.50 and 163,858.50

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Solution

The third proportional to 112,117.50 and 163,858.50 is: 239,477.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,117.50 : 163,858.50 = 163,858.50 : x
  2. Step 2: Convert to fraction form
    112,117.50/163,858.50 = 163,858.50/x
  3. Step 3: Cross multiply
    112,117.50x = 163,858.50 × 163,858.50
  4. Step 4: Simplify right side
    112,117.50x = 26,849,608,022.25
  5. Step 5: Solve for x
    x = 26,849,608,022.25/112,117.50
  6. Step 6: Final answer
    x = 239,477.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.