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Finding the Third Proportional to 101,782.50 and 153,787.50

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Solution

The third proportional to 101,782.50 and 153,787.50 is: 232,364.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,782.50 : 153,787.50 = 153,787.50 : x
  2. Step 2: Convert to fraction form
    101,782.50/153,787.50 = 153,787.50/x
  3. Step 3: Cross multiply
    101,782.50x = 153,787.50 × 153,787.50
  4. Step 4: Simplify right side
    101,782.50x = 23,650,595,156.25
  5. Step 5: Solve for x
    x = 23,650,595,156.25/101,782.50
  6. Step 6: Final answer
    x = 232,364.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.