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Finding the Third Proportional to 118,905 and 163,048.50

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Solution

The third proportional to 118,905 and 163,048.50 is: 223,580.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,905 : 163,048.50 = 163,048.50 : x
  2. Step 2: Convert to fraction form
    118,905/163,048.50 = 163,048.50/x
  3. Step 3: Cross multiply
    118,905x = 163,048.50 × 163,048.50
  4. Step 4: Simplify right side
    118,905x = 26,584,813,352.25
  5. Step 5: Solve for x
    x = 26,584,813,352.25/118,905
  6. Step 6: Final answer
    x = 223,580.28

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.