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Finding the Third Proportional to 130,788.75 and 185,116.88

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Solution

The third proportional to 130,788.75 and 185,116.88 is: 262,012.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,788.75 : 185,116.88 = 185,116.88 : x
  2. Step 2: Convert to fraction form
    130,788.75/185,116.88 = 185,116.88/x
  3. Step 3: Cross multiply
    130,788.75x = 185,116.88 × 185,116.88
  4. Step 4: Simplify right side
    130,788.75x = 34,268,257,409.77
  5. Step 5: Solve for x
    x = 34,268,257,409.77/130,788.75
  6. Step 6: Final answer
    x = 262,012.27

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.