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Finding the Third Proportional to 118,974 and 163,135.50

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Solution

The third proportional to 118,974 and 163,135.50 is: 223,689.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,974 : 163,135.50 = 163,135.50 : x
  2. Step 2: Convert to fraction form
    118,974/163,135.50 = 163,135.50/x
  3. Step 3: Cross multiply
    118,974x = 163,135.50 × 163,135.50
  4. Step 4: Simplify right side
    118,974x = 26,613,191,360.25
  5. Step 5: Solve for x
    x = 26,613,191,360.25/118,974
  6. Step 6: Final answer
    x = 223,689.14

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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.