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Finding the Third Proportional to 124,303.50 and 190,068

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Solution

The third proportional to 124,303.50 and 190,068 is: 290,626.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,303.50 : 190,068 = 190,068 : x
  2. Step 2: Convert to fraction form
    124,303.50/190,068 = 190,068/x
  3. Step 3: Cross multiply
    124,303.50x = 190,068 × 190,068
  4. Step 4: Simplify right side
    124,303.50x = 36,125,844,624
  5. Step 5: Solve for x
    x = 36,125,844,624/124,303.50
  6. Step 6: Final answer
    x = 290,626.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.