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Finding the Third Proportional to 75,423.50 and 148,943

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Solution

The third proportional to 75,423.50 and 148,943 is: 294,126.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,423.50 : 148,943 = 148,943 : x
  2. Step 2: Convert to fraction form
    75,423.50/148,943 = 148,943/x
  3. Step 3: Cross multiply
    75,423.50x = 148,943 × 148,943
  4. Step 4: Simplify right side
    75,423.50x = 22,184,017,249
  5. Step 5: Solve for x
    x = 22,184,017,249/75,423.50
  6. Step 6: Final answer
    x = 294,126.06

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.