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Finding the Third Proportional to 124,371 and 193,873.50

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Solution

The third proportional to 124,371 and 193,873.50 is: 302,216.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,371 : 193,873.50 = 193,873.50 : x
  2. Step 2: Convert to fraction form
    124,371/193,873.50 = 193,873.50/x
  3. Step 3: Cross multiply
    124,371x = 193,873.50 × 193,873.50
  4. Step 4: Simplify right side
    124,371x = 37,586,934,002.25
  5. Step 5: Solve for x
    x = 37,586,934,002.25/124,371
  6. Step 6: Final answer
    x = 302,216.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.