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Finding the Third Proportional to 101,377.50 and 148,214

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Solution

The third proportional to 101,377.50 and 148,214 is: 216,689.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,377.50 : 148,214 = 148,214 : x
  2. Step 2: Convert to fraction form
    101,377.50/148,214 = 148,214/x
  3. Step 3: Cross multiply
    101,377.50x = 148,214 × 148,214
  4. Step 4: Simplify right side
    101,377.50x = 21,967,389,796
  5. Step 5: Solve for x
    x = 21,967,389,796/101,377.50
  6. Step 6: Final answer
    x = 216,689.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.