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Finding the Third Proportional to 113,818.50 and 163,948.50

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Solution

The third proportional to 113,818.50 and 163,948.50 is: 236,157.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,818.50 : 163,948.50 = 163,948.50 : x
  2. Step 2: Convert to fraction form
    113,818.50/163,948.50 = 163,948.50/x
  3. Step 3: Cross multiply
    113,818.50x = 163,948.50 × 163,948.50
  4. Step 4: Simplify right side
    113,818.50x = 26,879,110,652.25
  5. Step 5: Solve for x
    x = 26,879,110,652.25/113,818.50
  6. Step 6: Final answer
    x = 236,157.66

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.